Like a Podcast on Facebook

I've submitted a podcast and I have a couple of episodes going, and I'm really happy with the progress.

One thing that I've been told by friends who have downloaded is that the facebook "like" option doesn't work - as if the button was greyed out. Everyone's "review" page in the podcasts app just say "be the first of your friends to like this on facebook," and when they click it, nothing happens.

Do I have to create a facebook page which I then link to via my rss feed? Or am I understanding the purpose of the "like" button incorrectly?

Any help would be greatly appreciated.