EXCLUSIVE: Carrie Fisher has been cremated, some of her ashes to be buried with mom Debbie Reynolds

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Carrie Fisher has been cremated, a source close to the Fisher family tells ET and The Insider.

A private memorial for the Star Wars star -- who died at age 60 on Dec. 27 -- will take place on Thursday, the source says. On Friday, Fisher's mother, Debbie Reynolds -- who died at age 84 one day after her daughter -- will be laid to rest in Los Angeles, along with some of Fisher's ashes.

MORE: Carrie Fisher and Debbie Reynolds' Moving Relationship Shown in Heartbreaking New 'Bright Lights' Trailer

Thursday is Fisher's private memorial, the source says. On Friday, Fisher's mother Debbie Reynolds -- who died at age 84 one day after her daughter -- will laid to rest in Los Angeles, along with some or Fisher's ashes.

See photos of Carrie Fisher throughout her life:

32 PHOTOS
Carrie Fisher through the years
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Carrie Fisher through the years
(Original Caption) Debbie Reynolds-Eddie Fisher with daughter Carrie Frances born October 21, 1956' (Photo by George Rinhart/Corbis via Getty Images)
(Original Caption) Hollywood: Eddie Fisher holds his two children, Todd 1, and Carrie, 2, (R), while shopping for toys just before his departure for Las Vegas and a possible rendezvous with actress Elizabeth Taylor. Fisher has not been photographed with the children born to his ex-wife, Debbie Reynolds, since September 1958.
12th February 1972: American actress Debbie Reynolds with her daughter Carrie Fisher. (Photo by Dove/Evening Standard/Getty Images)
UNSPECIFIED - CIRCA 1970: Photo of Carrie Fisher Photo by Michael Ochs Archives/Getty Images
American actress Carrie Fisher on the set of Star Wars: Episode IV - A New Hope written, directed and produced by Georges Lucas. (Photo by Sunset Boulevard/Corbis via Getty Images)
American actors Carrie Fisher and Harrison Ford on the set of Star Wars: Episode V - The Empire Strikes Back directed by Irvin Kershner. (Photo by Lucasfilm/Sunset Boulevard/Corbis via Getty Images)
Carrie Fisher at the Waldorf Astoria in New York City, New York (Photo by Ron Galella/WireImage)
Star Wars trilogy costars Mark Hamill and Carrie Fisher. (Photo by Lynn Goldsmith/Corbis/VCG via Getty Images)
Peter Weller and Carrie Fisher during Giorgio Armani Fashion Show - September 19, 1980 at RCA Promenade in New York City, New York, United States. (Photo by Ron Galella/WireImage)
UNITED STATES - CIRCA 2002: Harrison Ford and Carrie Fisher on Fifth Ave outside The Plaza hotel. They were in town for the movie 'Star Wars.' (Photo by Richard Corkery/NY Daily News Archive via Getty Images)
Carrie Fisher -- Carrie Fisher played photographer last night at xenon. For most of this year she played Princess Lea (check Sp) in revenge of the Jedi, The final movie in the star wars Triogy. She was quiet about the out Come of the movie, June 03, 1982. (Photo by Vernon Shibla/New York Post Archives / (c) NYP Holdings, Inc. via Getty Images)
Paul Simon and Carrie Fisher at the Paul Simon's Central Park West Apartment in New York City, New York (Photo by Ron Galella/WireImage)
NEW YORK - AUGUST 28: American actress, novelist and screenwriter Carrie Fisher poses for a portrait on August 28,1987 in New York City, New York. (Photo by Catherine McGann/Getty Images)
CA.Apla96.#1.GF. David Geffen (left) & Carrie Fisher dance at afterÂparty following Commitment to Life benefit held at Universal Ampitheatre Thursday niteÂÂHiggins story (Photo by Gary Friedman/Los Angeles Times via Getty Images)
UNITED STATES - MAY 03: Carrie Fisher is on hand at Avery Fisher Hall for the Film Society of Lincoln Center's gala tribute to Mike Nichols. (Photo by Richard Corkery/NY Daily News Archive via Getty Images)
Carrie Fisher during 'Stateside' Los Angeles Premiere - Arrivals at The Crest Theatre in Westwood, California, United States. (Photo by Jon Kopaloff/FilmMagic)
UNITED STATES - JANUARY 20: Carrie Fisher book signing in Santa Monica, United States on January 20, 2005 - Carrie Fisher and her book 'The Best Awful' at the Barnes & Nobel bookstore, California. (Photo by Mike FANOUS/Gamma-Rapho via Getty Images)
HOLLYWOOD - JUNE 09: (L-R) Actors Mark Hamill, Carrie Fisher and Harrison Ford speak onstage during the 33rd AFI Life Achievement Award tribute to George Lucas at the Kodak Theatre on June 9, 2005 in Hollywood, California. (Photo by Kevin Winter/Getty Images)
HOLLYWOOD - JUNE 09: Actors Mark Hamill and Carrie Fisher pose at the dinner during the 33rd AFI Life Achievement Award tribute to George Lucas at the Kodak Theatre on June 9, 2005 in Hollywood, California. (Photo by Amanda Edwards/Getty Images)
Actress Carrie Fisher poses during a dress rehearsal of her play 'Wishful Drinking,' at the Geffen Playhouse in Westwood. (Photo by Axel Koester/Corbis via Getty Images)
Century City, CA. Actress & author Carrie Fisher will be one of the judges on Fox's reality competition 'On the Lot' which sought submissions from aspiring filmmakers, selecting 50 to appear on the show. These semiÂfinalists will discover the magic of moviemaking when they are brought to Los Angeles to visit a realÂlife film set for the first time and must endure a rigorous Hollywood Boot Camp, says the Fox website. Carrie Fisher, one of the judges talks about the movie biz, and, perhaps, the show for a sunday Q&A at the Intercontinental Hotel in Century City. (Photo by Al Seib/Los Angeles Times via Getty Images)
SYDNEY, AUSTRALIA - OCTOBER 11: American Actress, Carrie Fisher poses for a portrait during her 'Wishful Drinking' tour at the Sydney Observatory Hotel on October 11, 2010 in Sydney, Australia. (Photo by Brendon Thorne/Getty Images)
HOLLYWOOD, CA - DECEMBER 07: Actress Carrie Fisher arrives at the premiere of HBO's documentary 'Wishful Drinking' at Linwood Dunn Theater at the Pickford Center for Motion Study on December 7, 2010 in Hollywood, California. (Photo by Michael Caulfield/WireImage)
HOLLYWOOD, CA - APRIL 07: Actress Carrie Fisher arrives at the 4th Annual Logo's 'NewNowNext Awards' 2011 at Avalon on April 7, 2011 in Hollywood, California. (Photo by Frazer Harrison/Getty Images)
NEW YORK, NY - NOVEMBER 03: (L-R) Actress and author Carrie Fisher with daughter Billie Lourd attend the 2011 Silver Hill Hospital gala at Cipriani 42nd Street on November 3, 2011 in New York City. (Photo by Ilya S. Savenok/FilmMagic)
TODAY -- Pictured: Carrie Fisher appears on NBC News' 'Today' show (Photo by Charles Sykes/NBC/NBCU Photo Bank via Getty Images)
HOLLYWOOD, CA - AUGUST 04: Actress Carrie Fisher speaks onstage during the Comedy Central Roast of Roseanne Barr at Hollywood Palladium on August 4, 2012 in Hollywood, California. (Photo by Kevin Winter/Getty Images)
BEVERLY HILLS, CA - SEPTEMBER 30: (L-R) Carrie Fisher and Mark Hamill attend the Midnight Mission Golden Heart awards gala at the Beverly Wilshire Hotel on September 30, 2014 in Beverly Hills, California. (Photo by Tibrina Hobson/Getty Images)
LONDON, ENGLAND - DECEMBER 16: Carrie Fisher attends the European Premiere of 'Star Wars: The Force Awakens' at Leicester Square on December 16, 2015 in London, England. (Photo by Dave J Hogan/Dave J Hogan/Getty Images)
Carrie Fisher poses for cameras as she arrives at the European Premiere of Star Wars, The Force Awakens in Leicester Square, London, December 16, 2015. REUTERS/Paul Hackett/File Photo
NEW YORK, NY - OCTOBER 10: Actress Carrie Fisher attends the 54th New York Film Festival 'Bright Lights' screening at Alice Tully Hall on October 10, 2016 in New York City. (Photo by CJ Rivera/FilmMagic)
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Additionally, the source tells ET that a public memorial is being planned for months down the road. While nothing has been finalized, the source says that Meryl Streep, Tom Hanks and Fisher's ex-husband, Paul Simon, will be among the invitees.

WATCH: Joely Fisher Says Debbie Reynolds 'Would Not Last' Without Carrie Fisher, Reveals Their Last Conversation

See photos of Debbie Reynolds through the years:

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Debbie Reynolds through the years
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Debbie Reynolds through the years

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THE SINGING NUN (1966) CHAD EVERETT, DEBBIE REYNOLDS SNUN 001FOH
THIS HAPPY FEELING 1958 UI film with Debbie Reynolds and Curd Jurgens
DEBBIE REYNOLDS American film actress about 1970
THE UNSINKABLE MOLLY BROWN (1964) DEBBIE REYNOLDS UMB 015
HOW SWEET IT IS - 1968 Warner film with Debbie Reynolds
DEBBIE REYNOLDS US film actress ,dancer and singer about 1960
THE UNSINKABLE MOLLY BROWN (1964) DEBBIE REYNOLDS, HARVE PRESNELL UMB 002
LOS ANGELES, CA - APRIL 08: Debbie Reynolds visits 'Extra' at The Grove on April 8, 2013 in Los Angeles, California. (Photo by Noel Vasquez/Getty Images for Extra)
HOLLYWOOD, CA - APRIL 14: Actress Debbie Reynolds speaks onstage during Kim Novak being immortalized with a hand and footprint ceremony as part of Day 2 of the 2012 TCM Classic Film Festival at Grauman's Chinese Theatre on April 14, 2012 in Hollywood, California. (Photo by Jason Merritt/WireImage) 22307_010_JM_1047.jpg
BEVERLY HILLS, CA - MARCH 24: Actress Debbie Reynolds attends the Professional Dancers Society's Gypsy Awards Luncheon at The Beverly Hilton Hotel on March 24, 2013 in Beverly Hills, California. (Photo by David Livingston/Getty Images)
BEVERLY HILLS, CA - MARCH 24: Actors Carl Reiner (L) and Debbie Reynolds attend the Professional Dancers Society's Gypsy Awards Luncheon at The Beverly Hilton Hotel on March 24, 2013 in Beverly Hills, California. (Photo by David Livingston/Getty Images)
BEVERLY HILLS, CA - MARCH 24: Actress Debbie Reynolds attends the Professional Dancers Society's Gypsy Awards Luncheon at The Beverly Hilton Hotel on March 24, 2013 in Beverly Hills, California. (Photo by David Livingston/Getty Images)
LOS ANGELES, CA - MAY 06: Actress Debbie Reynolds is seen on May 6, 2014 in Los Angeles, California. (Photo by JMA/Star Max/GC Images)
LOS ANGELES, CA - MAY 6: Debbie Reynolds and Mario Lopez are seen on May 6, 2014 in Los Angeles, California. (Photo by JB Lacroix/GC Images)
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