Dustin Brown also scored for Los Angeles with his first goal of the season. The Kings scored all of their goals on the power play and Phoenix was assessed 57 penalty minutes. Backup goaltender Mathieu Garon earned his ninth career shutout for the Kings, who snapped a four-game losing streak.
Phoenix, last in the Western Conference, lost for the fifth time in six games.
Rob Blake added two assists for the Kings, who didn't look like the team that had played the night before in a different city. Taking advantage of undisciplined play by the Coyotes, Los Angeles built a 3-0 lead in the first period.
The victim was backup goalie Mike Morrison, who allowed three goals on 13 shots in a painful home debut as a Coyote. Coach Wayne Gretzky replaced Morrison with Curtis Joseph after one period.
With Coyotes defenceman Ed Jovanovski serving a delay of game penalty, Frolov scored to give the Kings a 1-0 lead at 4:52 of the first period. It was Frolov's third goal of the season.
Los Angeles went up 2-0 when Kopitar scored on a rebound of Blake's slapshot at 16:29. It was Kopitar's third goal of the year. The power play came when Phoenix defenceman Dennis Seidenberg was sent off for hooking.
Another hooking penalty, on Owen Nolan, put the Kings on the power play 33 seconds later, and Brown made it 3-0 at 17:18.
Brown's goal came after Kings winger Sean Avery redirected a blast from the blue line by Brent Sopel. The puck slipped past a sprawling Morrison to Brown, who banged it into the open net.
Los Angeles went ahead 4-0 on Cammalleri's fourth goal of the season at 18:38 of the second period. The Coyotes were already two men short when Zbynek Michalek was sent off for cross-checking. Phoenix killed off the two-man advantage before Cammalleri scored on a 5-on-4.
Notes: Phoenix defenceman Nick Boynton ambushed Los Angeles defenceman Brent Sopel after Sopel levelled the Coyotes' Dave Scatchard in the third period. Boynton was assessed 27 minutes in penalties - two for instigating, five for fighting and 10 each for misconduct and a game misconduct. Phoenix killed off the seven-minute power play. ... The Kings' Sean Avery and the Coyotes' Shane Doan were sent to the locker rooms with 10-minute misconduct penalties after they tangled late in the game. ... The Coyotes fell to 1-2 at home.