Several Star Alliance airlines have Los Angeles to Moscow priced at $398 round trip for travel from January to May 2019. An interesting feature of this low fare is the potential for long overnight layovers in a variety of cities including Toronto, Zurich and Munich.
SkyTeam has fares slightly higher in low $400s round trip for LAX to Moscow SVO for travel departures mid-January to early March.
Lufthansa Airlines ticket for Swiss Airlines flights
Los Angeles LAX – Zurich ZRH – Moscow Domodedovo DME – Zurich ZRH – LAX
United Airlines ticket flying Lufthansa outbound with 18 hr overnight transit stop in Munich, Germany and Swiss Airlines inbound with 22 hr overnight transit stop in Zurich, Switzerland.
Los Angeles LAX – Munich MUC (overnight) – Moscow Domodedovo DME – Zurich ZRH (overnight) – LAX
SkyTeam Los Angeles LAX to Moscow SVO itineraries can be routed via Amsterdam with KLM or Paris with Air France.
Air France Los Angeles LAX – Paris CDG – Moscow Sheremetyevo SVO – Paris CDG – LAX