Fitness guru Richard Simmons' falls while at home contributed to his death ... something the coroner reportedly shared with Richard's brother.
Lenny Simmons says he got a call from the L.A. County Medical Examiner's Office, and they told him, "Richard's death was accidental due to complications from falls and heart disease as a contributing factor" ... according to Simmons family spokesperson Tom Estey.
People first reported Estey's revelation -- which lines up with the story TMZ broke last month about Richard's final days.