LA as in Los Angeles, right?? Not Louisiana.

Google Maps says that’s 466 miles, almost a 7-hour drive.

It’s all on Interstates, so it should be a quick run. I’ve made that run before, and Google has it right. Add maybe an hour or two if you plan on eating and making rest stops.

If you meant Louisiana, that’s almost 1,200 miles if you’re going to Shreveport, right across the line. That’s a two-day trip.
References :
49-State US road tripper

http://maps.google.com/maps?f=d&hl=en&geocode=&time=&date=&ttype=&saddr=flagstaff,+az&daddr=los+angeles,+ca&sll=37.0625,-95.677068&sspn=24.744426,58.710937&ie=UTF8&z=8&om=1

Use the maps on google.com
466 mi – about 6 hours 43 mins
References :
http://maps.google.com/maps?tab=wl