Justin Fontaine also scored,
The Blues had their third straight first-round ouster.
Devan Dubnyk made 30 saves, giving him 67 over the last two games after the 6-1 defeat in Minnesota that allowed the Blues to tie the series. The Wild outscored them 8-2 after that, and the Blues lost their 10th straight postseason game when facing elimination.
Coach Ken Hitchcock pulled goalie Jake Allen after Fontaine scored with 8:41 left in the second period, and
Parise's next goal came on a rebound of
Montreal 2, at Ottawa 0:
Max Pacioretty sealed the win with an empty-net goal with one second remaining.
Montreal won the best-of-seven series in six games, but lost two in a row after taking a 3-0 series lead — and Ottawa nearly sent it to a deciding seventh game.
Price, nominated for the Vezina Trophy as the league's top goalie, rebounded after allowing five goals in Game 5 with a masterful effort as the Senators outshot the Canadiens 43-20.