Lexus Troubleshooting Questions? Ask a Lexus Expert
since i dont know the year of your LS my answer will be this. if the vehicle is all wheel drive then you can not dolly tow the vehicle. since it is a rear wheel drive vehicle it is recommended that if you do dolly the vehicle that is be dollied backwards. this however causes issues since you need to be able to lock the steering securely. but also the front end hangs over the front axle line further than the rear so it tends to hit if towed backwards.
in short i would not advise you to dolly this vehicle but to get a light trailer that you can get all four wheels off the ground.