It took 60 minutes before the Swedish star found a breakthrough for Galaxy, but once he did it was one way traffic as the home side cruised to victory.
Ibrahimovic put away a header in the 61st minute to open the scoring when Real Salt Lake Goalkeeper Nick Rimando's punch of a cross by Chris Pontius deflected directly to the former Manchester United front man to head home.
Moments earlier, Salt Lake City's Justen Glad blocked what looked like a certain goal for Ibrahimovic, slipping behind a pair of LA players to deflect it at the goal line.
Ibrahimovic outdueled Glad at the top of the 6-yard box and side-netter a header off an entry by Servando Carrasco from 35-yards out to give the Galaxy a 2-0 lead in the 67th.
Ola Kamara rolled a left-footer past Rimando from the top of the area to cap the scoring in the 77th minute.
The win helps Galaxy stay in the playoff mix only two points outside the Western Conference top six.