An LCD screen is plastic with a non-glare coating. You have to be careful with products intended to clean glass because they can strip the non-glare coating, and over time cloud the plastic (ammonia).
Probably the easiest solution is 10% vinegar, 90% water. Also recommended is 50% isopropyl alcohol, 50% water. However, you don't want to use rubbing alcohol as it has lubricant additives that can streak and smudge. Also it's best to use distilled water so you don't deposit minerals on the screen. If you're just removing dust, a microfiber cloth is probably the best. Finally, there are plenty of commercial products available from Amazon or your local retailer. iKlear
is popular and well reviewed.