Adrian Ernest Bayley, who had pleaded guilty to raping and murdering the 29-year-old on September 22 last year, was told he will not be able to apply for parole for at least 35 years.
The 41-year-old was sentenced to life imprisonment for the killing, plus 15 years for the rape.
Victorian Supreme Court Justice Geoffrey Nettle told Bayley: “The nature and gravity of your offending and its antecedence ensure that nothing but life imprisonment will suffice.
“It was a savage, violent rape of the worst kind. Your killing of the deceased ranks among the worst kind conceivable.
“I am satisfied beyond reasonable doubt you pose a risk to the sexual safety of the community.”
Justice Nettle said Bayley would not have received a minimum term if he had not pleaded guilty.
Ms Meagher was attacked as she walked back to her flat after having drinks with colleagues from the Australian Broadcasting Corporation.
Bayley dragged her into an alleyway before raping and murdering her.
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