At 12:32 of the second period, Declan Chisholm gave the Devils a 2-1 lead with a left-point shot.
Wedgewood made 16 saves in the second period, including one on Meier's slap shot from the right slot at 14:11 to keep the game at 2-1.
Arseny Gritsyuk doubled New Jersey's lead at 4:39 of the third period with a backhand shot off the rush.
The Devils made it 4-1 at 16:05 of the third period when Jesper Boqvist scored an empty-net goal.
Lehkonen made it 4-2 with his seventh goal of the season via a right-circle shot set up by Gavin Brindley's feed at 16:47 of the third period.
With his second goal of the game and eighth of the season, Lehkonen made it 4-3 at 19:55 of the third period via a shot from the low slot while the Avs were playing with six skaters.