GLENDALE, Ariz. -- It had been 67 games and nearly 20 months between goals for Jordan Nolan. But once he got one, it didn't take very long for him to score the next.
Nolan scored in the second and third period, and backup goalie Jeff Zatkoff made 25 saves to lift the Los Angeles Kings to a 4-3 win against the Arizona Coyotes at Gila River Arena on Thursday.
Trevor Lewis scored the game-winner with 4:05 remaining, and Dwight King had a goal for Los Angeles (13-10-1), which has won six of its past seven games.
WATCH: Kings vs. Coyotes highlights
Nolan tied the game 2-2 with his first goal since April 9, 2015, against the Calgary Flames, and then gave the Kings their first lead when he scored again at 13:50 of the third period, banking a shot off the back of Coyotes goalie Mike Smith's pads from behind the Arizona net to make it 3-2.
"I see some of the top players throw it at the net when they are in the corner. So why not give it a try?" Nolan said. "Yeah, it's been awhile since I scored. Even last year, I felt like I had a lot of Grade A chances, but I just couldn't put them in."
Los Angeles coach Darryl Sutter said it was good to see Nolan's long drought end.
"It's a load off his back," Sutter said. "He's done a lot of things for our team when he goes in the lineup. He's won and fought some battles for us this year, and it's good to see guys like that get rewarded."
Video: LAK@ARI: Nolan banks puck off goalie for his second
Zatkoff entered the game at the beginning of the second period, replacing Peter Budaj, who allowed two goals on six shots in the first in his second start in as many nights, 20th in 23 games.
Martin Hanzal scored two goals for the Coyotes (8-11-3), and Tobias Rieder tied the game 3-3 at 13:50 of the third period, nine seconds after Nolan's second goal. Smith made 29 saves.
Arizona went 3-2-3 in a stretch of eight straight games against Pacific Division teams.
The Coyotes, who committed five giveaways, were sloppy with the puck all night, and their mistakes turned into Kings goals.
"You turn the puck over that many times, eventually it's going to bite you," Arizona coach Dave Tippett said.
Video: LAK@ARI: Hanzal buries PPG for his second of the game
Six penalties were called in the first period, including two against Kings forward Tyler Toffoli in the first 39 seconds. Six seconds after his first one, for tripping Max Domi, Hanzal deflected a Radim Vrbata shot from just off the left half wall down and through Budaj's legs 15 seconds into the game to give Arizona a 1-0 lead.
The Kings tied it 1-1 at 12:25 of the first, turning an errant drop pass by Arizona's Christian Dvorak at the Los Angeles blue line into a 3-on-2 rush. Derek King put a Dustin Brown pass by Smith at the left post.
Hanzal put Arizona back up 2-1 on the power play at 18:32. His fluttering wrist shot from the slot appeared to be going wide, but the puck hit Budaj's stick and bounced in behind him.
Zatkoff made saves on all 14 Arizona shots in the second period, allowing Los Angeles to tie it.
Nolan gathered the puck after Coyotes forward Anthony Duclair blocked Kyle Clifford's shot and beat Smith with a sweeping backhand at 10:14 to make it 2-2.
Video: LAK@ARI: Zatkoff robs Rieder before big collision
Goal of the game
Los Angeles executed a 3-on-2 rush down the ice to perfection for King's goal 12:25 of the first period. Anze Kopitar fed the puck to Dustin Brown at the right faceoff circle, and Brown found King charging to the net.
Video: LAK@ARI: King scores off of Brown's great dish
Saves of the game
Smith made 13 saves in the first period, including two on Drew Doughty power-play slap shots, the first at 8:25 and the second at 14:50.
Video: LAK@ARI: Smith denies Doughty, keeps game tied
Unsung moment of the game
Jordan Martinook was about to turn a Doughty turnover into a 3-2 Arizona lead late in the second period, but with half the net open, his stick blade shattered when it made contact with the puck, and the shot went wide.
Highlight of the game
Rieder took a long stretch pass from Alex Goligoski, got a step on Doughty and beat Zatkoff over the glove for his sixth goal.
Video: LAK@ARI: Rieder beats Zatkoff on break with backhand
They said it
"Tonight was my first win as an L.A. King, so it's nice to get that one out of the way." -- Kings goalie Jeff Zatkoff
Video: LAK@ARI: Zatkoff snares Dvorak's wrist shot
"I try that move in practice every once in a while, so I thought I'd try it out tonight." -- Kings forward Jordan Nolan on the backhand shot he used to score his first goal in 67 games
Video: LAK@ARI: Nolan roofs a slick backhand goal
"I thought he was unlucky. He made some great saves. I'm sure he's frustrated just like the rest of us." -- Coyotes coach Dave Tippett on goalie Mike Smith
Need to know
Hanzal's goal 15 seconds in was the second-fastest to start a game for the Coyotes since the franchise moved from Winnipeg to Arizona in 1996. The fastest was nine seconds by Taylor Pyatt against the Nashville Predators on Dec. 6, 2011.
Kings: At the Montreal Canadiens on Sunday (3 p.m. ET; SNE, RDS, FS-W, NHL.TV)
Coyotes: Host the Columbus Blue Jackets on Sunday (8 p.m. ET; FS-A PLUS, FS-O, NHL.TV)
Video: Nolan scores twice to key Kings' 4-3 victory