Hello,
I have a flight this summer from LAX to AMS nonstop; then onto Stockholm:
July 5 LAX Flt 602 KLM 5:55 PM
AMS 1:15 PM
July 28 AMS Flt 601 KLM 1:15 PM
LAX 3:15 PM
I don't know if this makes a difference but I am using rewards points from CO. flying with North West on a KLM flight.
Hope this helps !
Danny