Can I apply to college after teachers submit letters of rec?

So I got two letters of recommendation from my teachers and they both submitted it. Now, I want to add more colleges to my application, but my question is, if I assign my teachers to those colleges will they have to fill out a letter again, or will the Common App just automatically circulate the already submitted letters into the new colleges?

You can add more colleges on the Common App and assign the existing teachers. They do not fill out a new rec.