I have seen a few people around posting about tail light LED bulbs and everything seemed too expensive so I decided to try another solution. On Amazon I found this for $6:
Direct link: http://www.amazon.com/gp/product/B00...ls_o01_s01_i02
It included 4 LED bulbs for only $6! I installed 2 which fit perfectly and lit the plate nicely. They're not super bright but worked very well.
Hopefully others can save a little cash while replacing these lights.