Los Angeles is 8-2-1 in its past 11 games.
"Starting to sound repetitive as a coach after a lot of games, which is a good thing. That means we're finding some consistency, we're doing some things right," Kings coach Todd McLellan said. "We're winning the right way, and it means we're moving the needle forward."
Kopitar gave the Kings a 1-0 lead at 5:16 of the first period when he scored off the rebound of Brown's initial shot on a 3-on-2 rush.
"Yeah, I was expecting the jazz hands celebration," said Brown, referring to Alec Martinez's goal in double overtime of Game 5 to win the 2014 Stanley Cup. "Yeah, that was very, very similar. You'll see plenty of goals like that, 3-on-2 shot, far pad. It's kind of a staple at this level."
Foligno scored 12 seconds into the second period to tie it 1-1. Petersen saved a backhand by Mats Zuccarello, but the rebound went to Foligno at the top of crease.