Eichel skated into the offensive zone on a 2-on-1 and buried a wrist shot from the right face-off circle over MacKenzie Blackwood's right pad shortly after Devon Toews missed the net on a 2-on-1 the other way.
Mark Stone and Pavel Dorofeyev each scored for the Golden Knights (37-26-17), who extended their point streak to eight games (5-0-3). Carter Hart made 30 saves.
Toews and Nick Blankenburg each scored for the Avalanche (52-16-11), who are 3-2-1 in their past six. Blackwood made 26 saves.
Colorado, which clinched the top seed in the Western Conference and won the Central Division title with a 3-1 win against the St. Louis Blues on Tuesday, also clinched the Presidents’ Trophy with a 3-1 win against the Calgary Flames at Ball Arena on Thursday.
Toews gave the Avalanche a 1-0 lead with a power-play goal at 9:17 of the first period. He collected a pass from Brock Nelson at the point and sent a wrist shot on net that squeaked through the body and left arm of Hart.
Stone tied it 1-1 while on a power play at 13:47. Mitch Marner's wrist shot from the blue line was deflected by Tomas Hertl and fluttered to the front of the net, where before Stone knocked it down between his legs out of midair and lifted a backhander over Blackwood's blocker.
Dorofeyev put the Golden Knights ahead 2-1 at 2:09 of the second period with a one-timer from the left circle into the top right corner.
Blankenburg evened the score 2-2 a 10:56 after his wrist shot from the blue line hit off the left post and then bounced off Hart's back and into the net.
Colorado forward Nathan MacKinnon skated around Vegas defenseman Shea Theodore in the left circle and powered to the net, but was denied by the left pad of Hart with 3:47 left.
Avalanche coach Jared Bednar left the game in the third period after being hit in the head with a deflected puck, and defenseman Josh Manson left the game at 17:17 of the second period with an upper-body injury and didn’t return.
