Sebastian Aho pushed the lead to 3-0 at 14:11 of the second period when he controlled a backdoor pass from Necas with his backhand before tucking the puck into the open net with his forehand.
Arthur Kaliyev scored on a one-timer from the right circle to pull Los Angeles to within 3-1 at 9:31 of the third period. Seven of his nine goals this season have come on the power play.
"Third period, sat back a little and got in a little bit of penalty trouble, you know," Carolina coach Rod Brind'Amour said. "They definitely had a good push there."
Svechnikov put Carolina back up 4-1 at 12:10 when his pass through the slot deflected in off Los Angeles defenseman Drew Doughty.
Fagemo, who was playing in his sixth game, scored at 17:25 for the 4-2 final.
"It's kind of an 'I've arrived' marker, that and that first lap when you play your first game," McLellan said. "So Sammy's arrived. I thought he had a good strong game tonight."
NOTES:Only six goaltenders in NHL history have won more games through 10 starts than Kochetkov: Igor Shesterkin, Viktor Fasth, Martin Prusek, Bob Froese, Wayne Thomas, and Frank Brimsek each won nine. …Hurricanes forward Teuvo Teravainen had two shots in 15:47 of ice time in his return after missing 10 games with an upper-body injury. … Necas has five points (three goals, two assists) during a four-game point streak. … Hurricanes forward Seth Jarvis had an assist to extend his point streak to five games (two goals, three assists). … Kings defenseman Alexander Edler did not play because of an illness. McLellan said Edler would have been scratched for rest before he got sick.