This fare is only available on select dates for flights departing in July, returns in August are possible so long as you depart before July 31, 2018. Travel is available for flights departing LAX Sunday through Wednesday starting July 9th. Searching on Priceline we found seats leaving LAX on Tuesday, July 31, and returning from KIX on Wednesday, August 8, 2018. You will have the best luck booking via Priceline or CheapOair for this price. Other third-party sites seem to jump up slightly in price. The Air Canada site prices it at $664 round-trip, so avoid booking there.
Make sure to have a peek at all the great fares we have found today departing LA on the Los Angeles LAX flight deals page.