Evgenii Dadonov scored from the slot on a drop pass from Huberdeau at 13:47 of the third period to tie it 3-3. Kopitar put the Kings ahead 3-2 at 9:44.
"Even when we were down with seven (minutes) to go, we didn't change much up," Boughner said. "Just kept playing our game and found a way to get hungry around the net and get a bounce, and that's what it is all about this time of year. It's a battle, it's a grind, and it comes down to all the little details."
Brendan Leipsic scored for the Kings to tie it 2-2 at 1:05 of the third. Carter had the primary assist, giving him 362 goals and 338 assists in 969 NHL games. The Panthers challenged for goalie interference, but the call on the ice was upheld.
Dadonov put Florida in front 2-1 at 4:04 of the second period, scoring from the edge of the crease on a rebound of Barkov's shot. Dadonov had not scored in his previous nine games, his longest drought this season.