It was his first goal since Nov. 27, 2023, in part because of season-ending shoulder surgery in February.
"It felt good to just see one go in the net," he said. "Obviously it wasn't pretty. Just put pucks on net and good things happen."
Brazeau made it 2-0 at 11:23 of the second period when he skated through the slot and one-timed a pass from Marchand past Kolosov.
"The 5-on-5 goals that we got are the kind of 5-on-5 goals that we're going to have to score, where it's at the goal line, we outnumber people, and we find someone in the slot and or we crash the net," Montgomery said.
Marchand closed the scoring at 16:21 of the third period with an empty-net goal for the 3-0 final.
It's the third straight game the Flyers have had 21 shots on goal or fewer. Part of that could be a focus on playing better in the defensive zone.
"We have to play well in front of our goalies," Flyers coach John Tortorella said. "To me, when you play well in front of your goalies, you have the puck more. So as far as the shots, I think we have chances to shoot and we don't. Like I said the other day, it's an epidemic of shooting the puck wide. ... Playing defense has to be a priority for us in the situation we're having, our goaltending situation, and just where we are as a team. Offense comes off of that. Hopefully it's a matter of getting some guys going."
NOTES: The win was Montgomery's 117th as Bruins coach, tying Lynn Patrick for 10th all-time. ... Korpisalo's last shutout was April 10, 2023, with the Los Angeles Kings.