My 4163B is dead silent. I can't hear anything at all from it even when burning, so much so that I have to look at the status light to make sure it is still on. It shouldn't be that noisy. It would be quieter without a disc in the drive, because then the motor isn't spinning.
The vibration you hear could be the drive shaking about in the drive bay. Try checking if the drive is screwed on properly in it's drive bay. Make sure you really use 4 screws and tighten them (but till they are just tight, not until your arm breaks off).
The other thing could be where your computer case is placed. Mine is on a carpeted floor so any vibrations are absorbed by the carpet. If you have yours on a table for example, the table could be acting as a hollow chamber amplifying the noise of the vibrations.
Also, see if the case is seated properly on whatever surface it is placed on. If it is slighly warped for example, and only part of the bottom is touching the surface it is placed on, the spinning of the drive could be causing the case to vibrate because of the case's uneven placing, causing a fair bit of noise.
I'm guessing the liteon probably doesn't have quite as powerful a motor, but the LG still shouldn't be that loud.