LONDON — After a painstaking five-month investigation, the British police concluded on Thursday that 71 people died in the Grenfell Tower disaster, somewhat fewer than they had originally estimated.

Victoria King, 71, and her daughter Alexandra Atala, 40, were the last victims to be formally identified by the coroner, the police said in a statement. A stillborn baby, whose mother escaped the building, was counted among the victims.

At the time of the fire, the London Metropolitan Police said that at least 80 people had died in the blaze, which tore through the 24-story tower on June 14. But officers now believe all the victims have been recovered and identified.

The authorities received thousands of phone calls reporting missing residents. Lists compiled by volunteers suggested that the victims numbered in the hundreds, but it eventually became clear that many people had been listed under multiple spellings of their names.