A strong AM transmitter signal can get into the FM exciter and cause all sorts of spurs.
I was at an AM on 1400, there was another AM nearby on 900. There would be a signal on 500 kHz that caused problems with maritime distress near the port. FCC required both stations to put a filter in the tuning networks. Even with one or the other station off the air, there was mixing going on in the tuned circuits from the two stations. You could ground the tower with the station off the air and the interference would go away. It was heard for at least 10 miles when 500 kHz was quiet.
I was at an AM on 1400, there was another AM nearby on 900. There would be a signal on 500 kHz that caused problems with maritime distress near the port. FCC required both stations to put a filter in the tuning networks. Even with one or the other station off the air, there was mixing going on in the tuned circuits from the two stations. You could ground the tower with the station off the air and the interference would go away. It was heard for at least 10 miles when 500 kHz was quiet.