Alex Ovechkin scored, and Rasmus Sandin had a goal and an assist for the Capitals (31-28-6), who had won two straight. Darcy Kuemper allowed three goals on 40 shots.
Washington is three points behind the Pittsburgh Penguins, who have three games in hand, for the second wild card into the Stanley Cup Playoffs from the Eastern Conference.
"If you start looking at the big picture and trying to do the math and everything like that, obviously it can get a little daunting," Kuemper said. Win the next one and go from there."
Sandin gave the Capitals a 1-0 lead at 11:39 of the second period, scoring five-hole with a backhand from his knees after he whiffed on his initial shot from the slot.
"Luckily I got a little touch on it, and luckily it went in, but it didn't help us enough tonight," said Sandin, who has five points (one goal, four assists) in two games with Washington since being acquired from the Toronto Maple Leafs on Feb. 28. "Still nice to get that first one out of the way, for sure."
Gavrikov tied it 1-1 at 13:18, chipping down and putting in the rebound of Kevin Fiala's shot. It was his first point in three games with Los Angeles since being acquired from the Columbus Blue Jackets on Wednesday.
"I knew it was going to take a while, like learning the details and stuff," Gavrikov said. "I feel more comfortable every game."