Yes sir, it is common.
Commonly known as DOMS, meaning Delayed Onset Muscle Soreness.
DOMS is common, yes I know that is a wikipedia link but it's the first one I found and I am far toooooo lazy to find links on BB sites right now.
MegaHurtz, it's normal, don't freak out.
Also, just another thing to think about. Don't take offense but it is just something to think about
: How long has it been since you have been "active"? Yes you are only 22, but our bodies slow down when we aren't constantly in motion, dig? Think of how long you have been inactive, think of how long of a time frame that has been. It will take just as much time for you to become 'active' looking or feeling, again.
Either way, it is good to see people changing their lifestyle.