JC upgraded all his lights in his home with LEDs and now he's having issues with radio reception on his AM transistor radio. Leo says not all LEDs emit RF interference, but some do. And in theory, all of them shouldn't because it's illegal. But that doesn't change the fact that it happens, mostly in cheaper varieties.
It may also be that since JC changed all of his bulbs to them, it could be a cumulative effect. The good news is that simply by changing his bulb to one made by a different manufacturer will solve it. Check out the website LEDBenchmark.com. It measures and rates the RF emissions of LED lightbulbs. Replacing the dimmer may solve it as well.
The other option is to start listening to internet radio, where RF interference isn't a factor.