I'm pretty sure most LTE phones use dual radios.
LTE is a GSM standard, but hasn't been implemented to have voice yet. On AT&T when on a voice call your using HSPA for voice and data. On verizon or sprint iPhones you are using Edge for voice which doesn't support data.
Non-Apple phones on Verizon and Sprint work around this by running two radios at once, one for LTE and one for Voice.
It's not clear yet if Apple changes this with iPhone 5S but I don't think they did. I can't think of a single LTE phone the size of the iPhone, and don't think there's enough wiggle room to implement the change.
I could be wrong but from what I understand the antenna has to be set up differently to do it. Because apple uses the metal enclosure as part of the antenna design, and the baseband is monitoring the signal across the antennas to deal with signal attenuation from holding it, there isn't the room for dual simultaneous support.
I'm sure someone smarter then me will interject and prove me wrong though.