If absolutely no traffic, it would take about an hour. More realistically two hours. Unfortunately if this is a weekday leaving Palmdale at 2PM you'd start to hit the beginnings of rush hour traffic in LA on the way there. Leaving at 3PM you'd probably really get stuck in traffic. I'd try to be leaving Palmdale by 1PM.
Not sure why you asked this same question in multiple forums using different names.
It would serve you best to have a full itinerary under one question for your trip. You're getting multiple answers and that could compromise your trip
Just trying to get a range of views. But I take your point. Used the same name, however!