Sam Bennett, Dennis Wideman, Freddie Hamilton and Alex Chiasson scored for the Flames (45-32-4).
Jon Gillies made 27 saves to win his NHL debut. According to Elias Sports Bureau, Gillies is the fifth goaltender in Flames history to win his NHL debut, and first since Reto Berra on Nov. 3, 2013.
"That was an unbelievable effort by our team," Gillies said. "It was fun to play behind. When you play behind a group like that, it's easy to see why they've had so much success this year. It's nice to be a part of it."
Trevor Lewis scored, and Ben Bishop made 20 saves for the Kings (38-35-7), who were eliminated from playoff contention when they lost 2-1 to the Arizona Coyotes on Sunday. They are 5-7-1 in their past 13 games.
"I've said it, and it'll hold true; it held true last summer," Kings coach Darryl Sutter told LA Kings Insider. "We don't match up in our division very well, and we certainly did not tonight, and it's clear."