Larkin gave the Red Wings a 1-0 lead at 2:44 of the first period, roofing a shot from a sharp angle over Talbot's right shoulder after David Perron stole the puck from Mikey Anderson in the Kings zone.
Byfield tied it 1-1 with a power-play goal at 6:58, finishing off a quick passing play with Fiala and Kopitar.
Larkin put Detroit back in front 2-1 at 9:17 of the second period during a 5-on-3 power play. Kane's backdoor pass for Alex DeBrincat deflected off the stick of Vladislav Gavrikov and was stopped by Talbot, but Larkin quickly scored on the rebound.
“I thought we were playing well when it was 1-1, but then we got the offense going,” Larkin said. “We kind of took over, which is great to see.”
Robby Fabbri extended the lead to 3-1 at 16:22, and Kane tucked in a forehand on a breakaway to make it 4-1 at 17:26.
Phillip Danault had a goal overturned for the Kings 31 seconds later because of goaltender interference.
“That was a great job by our video guys,” Red Wings coach Derek Lalonde said. “That’s a huge moment, because it would be 4-2 and they’d have a power play, but they got it exactly right.”