This award space from LAX to LHR prices at 57,500 miles one-way in business class. You'll pay $734 in taxes and fees on top of the miles, which is standard for transatlantic awards departing to the UK. Only 3 seats are showing at this rate.
For context, business class awards on this route through AAdvantage typically run around 115,000 miles each way. At 57,500 miles, you're looking at a solid redemption that frees up miles for another trip or keeps your balance healthier for future bookings.
This appears to be partner availability, likely on British Airways or another oneworld carrier. Be aware that British Airways flights carry higher carrier-imposed surcharges, which accounts for the $734 fee. If flexibility matters to you, check whether American's own metal is available on nearby dates, as fees tend to be lower.
With only 3 seats left, this works for a solo traveler or a couple. Families needing more seats may want to search adjacent dates to see if similar pricing appears.
How to book
Search and book directly through American Airlines: https://www.aa.com/booking/choose-flights/1