"We had to play uphill the whole game, so that's no formula to win important games in March and April, that's for sure," Blackhawks coach Jeremy Colliton said.
Kempe put the Kings back in front 4-3 at 8:08 of the second period on the rush after the Kings lost a three-goal lead. Perlini cut the deficit to 3-2 at 2:06, scoring on a breakaway set up by Crawford's stretch pass, and Connor Murphy tied it at 3-3 at 6:57.
Leipsic made it 5-3 at 4:54 of the third period on a one-timer from Kovalchuk, scoring for the second straight game.
"We have been in a lot of games lately (and) let them slip away in the third, so it's nice to get one early there," Leipsic said. "Didn't sit back too much, didn't give them a whole lot."