how much would it cost to repair the LCD? and where can i take it?

Just google iphone 5s screen repair yourcity yourstate.

You could also take it to an Apple store. Their prices are here but as you can see it is pricey. I've seen as low as $80 online but think you could find $60 locally. But, beware. Apple guarantees their work, most others do not and I lost an iDevice to a faulty screen repair once so success is not a given.

Make an appointment at an Apple Store to have your device examined by a technician. Or contact Apple Support. Be sure to back up your device before taking or sending it to Apple.

Having any non Apple authorized service performed on your iPhone will void the iPhone warranty and preclude any future serve by Apple.