Monahan opened the scoring at 8:15 of the first period when he took a drop pass and fired a shot to the top corner over Quick's glove hand.
Only a few minutes later, Quick made a nice play to stop a shot from the slot by Monahan. The Flames kept the puck in L.A.’s zone, and Stone took a pass from Gaudreau before blasting a shot past Quick at 11:36 to put the Flames up 2-0.
Kopitar scored for the Kings with 1:20 to play in the opening period when he redirected a pass from Dustin Brown past Elliott.
Giordano put the Flames back up by a pair 47 seconds into the second period before Gaudreau converted on breakaway chance 50 seconds later by lifting a backhand shot over Bishop's left pad.
Dowd cut Calgary's lead to 4-2 at 5:31 by redirecting Paul LaDue's point shot past Elliott for his first goal since Dec. 22, ending a 33-game drought.
The Kings couldn't get much going after that as the Flames tightened up defensively to record their second straight win and 12th in their past 13 games.
Versteeg rounded out the scoring with an empty-netter with 24.8 seconds to play in the game.
When: 6 p.m. PDT, Monday.
On the air: TV: FS West; Radio: 790.
Update: The Kings could start Quick after he played fewer than 12 minutes Sunday. He is 19-1-5 lifetime against the Oilers while Bishop is 5-1-1 against Edmonton, including his last win with the Tampa Bay Lightning on Feb. 21. This is the first of three games between the teams in 16 days. Oilers goalie Cam Talbot recorded his sixth shutout this season Friday. Connor McDavid is the first Oilers player to reach 80 points since Taylor Hall in 2013-14. Leon Draisaitl and Patrick Maroon each have a career-high 24 goals.