J.T. Compher and Nathan MacKinnon each scored two goals, Mikko Rantanen had a goal and two assists, and Darcy Kuemper made 29 saves for the Avalanche (55-14-6), who have won nine straight.
Colorado also clinched the Central Division title on Saturday and is four points ahead of the Florida Panthers for the Presidents' Trophy, given to the NHL team with the most regular-season points.
"Obviously, really happy to get the top seed in our division," Colorado coach Jared Bednar said. "It gives us home ice for a round or two. And then the overall race, like I've said before, it's not the be-all-end-all, but it's something that we had as a goal from the start of the season, to put ourselves in the best position to succeed."
Jordan Staal had two goals, and Sebastian Aho and Andrei Svechnikov each scored for the Hurricanes (48-20-8), who are tied with the New York Rangers for first in the Metropolitan Division.
"Let's be honest, they've got good players," Carolina coach Rod Brind'Amour said. "I don't know that it was a total gong show for us, but it was just, we gave up too much early, [and] then we fought back. We always do. But like I said, you can't spot a team that many goals and expect to have success."