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The 27-year-old was found Sunday in a suspected suicide in Calabasas, California, authorities told TMZ.
He is the son of Lisa Marie and musician Danny Keough.
Lisa has previously spoken of her son's similarity to her dad Elvis, calling it "uncanny".
She said: "Ben does look so much like Elvis. Everybody was grabbing him for a photo because it is just uncanny."
In 2009 Benjamin was reported to have signed a US$5million record deal with Universal.
"The music will be nothing like Elvis, nothing like him at all," he said in an interview at the time.
Lisa Marie was born to Elvis and Priscilla Presley on February 1, 1968.
Her parents were married on May 1, 1967, at the Aladdin Hotel in Las Vegas. They divorced in 1973.
Lisa Marie and her first husband, Keough, had two children together, Benjamin and his sister, the actress Riley Keough. The couple were married on October 3, 1988 and divorced on May 6, 1994.
Twenty days later Lisa Marie married Michael Jackson. In 1996, citing irreconcilable differences, she filed for divorce.
She also had a third marriage to Nicolas Cage that lasted two months in 2002.
In January it was reported Lisa, 51, and her ex-husband Michael Lockwood have been engaged in a nasty custody battle over their 11-year-old twin daughters, Finley and Harper.
Lisa was married to Lockwood, her fourth husband, in 2006, and she gave birth to their twin girls in October 2008.
She had her two older children, Benjamin and his sister, the actress Riley Keough with her first husband, musician Danny Keough.
WHERE TO GET HELP:
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