Just for future reference for you, LCD and LED televisions are exactly the same apart from the type of backlight they use. LCD displays utilize a CCFL mercury backlight and LED displays utilize LED lights, usually placed on the edges of the screen. The LCD matrix that filters the light is the same (well, LED displays have an additional yellow filter but I won't get into that).
Now, onto your actual problem, check in the TV's menu for noise reduction and turn it off, that might be adding some delay. If it's not present, then I'm sorry, but many LCD displays have input lag, and yours might be one of them. Usually they have some sort of "game" picture mode where some of the picture processing isn't utilized.