Kings defensemen had scored 13 goals entering the game; Drew Doughty has eight of them.
"The really good teams in the League right now are getting a lot of production from the blue line, and sometimes I don't think our D are aggressive enough with their shots," Los Angeles coach Todd McLellan said. "They're not always prepared to shoot, and tonight a goal like Walker's, it's a seeing-eye one that finds its way to the net and, lo and behold, it goes in.
"I think a lot of times you score off of that [junk] in and around the net when the D do take the shot, so as we move forward and continue to evolve, offense has to come from the blue line as much as it does from the forwards."
Drysdale cut it to 2-1 at 3:03 of the second period on a shot from the high slot.
Brown scored into an empty net at 18:57 of the third period for his team-leading 17th goal to make it 3-1, and Trevor Moore added another empty-net goal at 19:29 for the 4-1 final.
"It's basically a one-goal game, but that's a number of games in a row where we've only scored one goal. We've got to find way to put that puck in the net," Anaheim coach Dallas Eakins said.
NOTES: Ducks center Adam Henrique was added to the NHL COVID-19 protocol list Monday and did not play. … Anaheim defenseman Andy Welinski sustained a lower-body injury in the first period. … Ducks center Isac Lundestrom returned after missing eight games because of appendicitis. He was minus-2 in 16:29 of ice time. … Anaheim captain Ryan Getzlaf started the game on the wing but moved back to center after the Ducks fell behind 2-0. Eakins said the position change was made with the intention of allowing younger players to get more time at center. … Kings center Anze Kopitar had an assist, his 996th NHL point. He has scored nine points (three goals, six assists) in his past 13 games.