The Kings have outscored opponents 47-21 in the third. That penchant for late heroics has helped land them atop the Western Conference with 48 points, two more than the Vegas Golden Knights, Nashville Predators, Winnipeg Jets and St. Louis Blues.
"We've been behind a lot this year," Brown said. "Our first periods haven't been our best and our third periods have been really good. It would be nice to play with a lead eventually."
Landeskog put the Avalanche ahead 1-0 at 11:14 of the second period, beating Quick with a wrist shot from the right face-off circle. He has four goals and three assists during a three-game point streak.
The Kings nearly scored less than a minute before Landeskog's goal when Trevor Lewis had a look at an open net, but Avalanche defenseman Patrik Nemeth tied up Lewis' stick and Nikita Zadorov blocked his shot near the goal line at 10:20.
Varlamov made a save against Lewis at 16:20 of the first period, and the rebound hit Kings forward Nicholas Shore and went off the crossbar.
"I think we played good," Zadorov said. "[Varlamov] was unbelievable tonight. We shut it down almost until the end, and they got good goals out there. They're going to get an opportunity every once in a while, and we have to score."