Can I put an iPhone 5 screen on a 5c?

No,they are differernt, the Difference between iPhone 5 iPhone 5C screen are the frame and LCD flex cable. You can easily recognize them. And iPhhone 5, iPhone 5C,iPhone 5S lcd screen are both different. Please see the picture

"Of course not,the frame of iPhone 5S is different from iPhone 5C.And the Home button hole is different too.

Before replacing your broken screen,please check carefully what your iPhone model is.

Here is the picture of the difference between iPhone 5S and iPhone 5C LCD Screen:"

"the 5c and 5s LCD and digitizer connector is the same.

BUT... Plastic frame is different, the Home Button hole on 5s is larger (for the fingerprint reader), thus, not interchangeable"

from the motherboard images i have seen, the connectors are different between the 5 & 5s so it is highly unlikely that the screens will be compatible.

The iPhone 5 and 5c are NOT exactly the same. They may operate and run the same but apple changed the internals so that most of the parts are NOT compatible between the two models, screen included.

You will not be able to use a iPhone 5 screen on a iPhone 5C then have a different digitizer connectors.