First one needs to understand how AM and FM signals propagate. AM travels both through the air and through a ground wave. A good chunk of an AM radio station's antenna system is just under the grass in the form of copper ground radials that stretch out and away from the tower. (It's also why you don't want to be standing in the tower field during a thunderstorm!) For this reason, AM towers tend to be built in low, wet areas. The AM tower itself is built for the transmission frequency. They tend to get shorter as the frequency gets higher, but that's not always the rule. When I worked at 790 WPIC in Sharon/Youngstown, we had a 550' free-standing tower:
At the very top, you can see the FM bays for WYFM (Y-103) mounted. (Thanks to my friend Scott Fybush for the pics of my old stomping grounds! If the grass was shorter you'd see my 1986 Ford Tempo in the lot)
AM stations can also be licensed for a "directional" pattern. If the FCC licensed another station nearby on the same frequency, you'd have to lower power and go "directional" at sundown. When I worked at the "Mighty 1290 WGLI" on Long Island, we'd go from 5,000 Watts unidirectional off of one tower in the day to 1,000 watts directional at night off of three towers construcrted in a line from northwest to southeast.
Sometimes this could be taken to an extreme, such as the case of another station I worked for in Connecticut: 1510 WNLC. There was a station in Boston also on 1510 (WMEX) so at night, we'd drop power and go to a (I kid you not!) EIGHT TOWER directional array!
I could finish my afternoon show and drive away, still seeing the blinking lights in my rear-view mirror, and drive out of the signal area!
TV and FM antennas are all about height. The signal travels "line-of-sight", which is why you'll find FM and TV antennas at the top of skyscrapers, REALLY tall towers, and on top of mountains, while the AMs are out in the marshlands surrounding the city. If you get it high enough, the FM or TV antenna doesn't even need to be very big. Depending on the FM bays, you really only need 15 to 20 feet. But unlike AM, the signal dies at the horizon, and it doesn't follow the curve of the earth.
Jon