Dowd got the visitors back within a pair when he tipped home a point shot from Paul Ladue at 5:31.
Gaudreau almost got his second of the game not long after when he was sprung up the middle again on a partial breakaway and switched it up, going backhand-forehand and looked to tuck it into the open cage after deking Bishop out with the move but Ladue dove and just smacked the puck away at the last second.
Versteeg's marker was the only scoring in the third period.
NOTES: The Flames have a 22-15-1-2 record against the Western Conference this season and they are 11-9-1-2 against the Pacific Division … Two Flames are nearing career milestones: Mark Giordano need one goal for 100 while Kris Versteegis three assists away from 200 … Speaking of Giordano, he now has 334 career points in the Flaming C and trails Robert Reichel by 20 points for 17th all-time in franchise scoring … Former Flames captain and now King Jarome Iginla is Calgary's all-time leader in games played (1,219), goals (525) and points 1,095) … The first of Johnny Gaudreau's three career hat-tricks came against the Kings on Dec. 22, 2014 …
UP NEXT: The Flames travel to D.C. to take on Ovie and the Capitals Tuesday (5 p.m., SNW, SN960 THE FAN) in the first of a three-game road trip, with stops after in Nashville Thursday and St. Louis Saturday.