I know you should not clean and LCD monitor as you would an old TV or monitor. I just don't know for sure how to clean an LCD monitor.
Used fabric softener cloths work great.
best way is to just use a soft terrycloth towel dampened with water only. Just lightly dampened NOT soaking wet.
Use a soft cloth (microfiber or cotton) dampened with water, or some soap solution (liquid hand soap) It should be damp enough to actually wet the screen but not so wet that water will run down the screen. If you have a more stubborn mark then you can try some rubbing alcohol on the same type of cloth. The wipes sold for cleaning glasses or monitor screens also should be good. Do not use: paper towels - they are abrasive. dish detergent - it has abrasive salts in it. household cleaners - they can contain damaging chemicals.