My boyfriend and I don't match, but we love each other, should I stay or should I go?

I’m 19 years old, and my boyfriend is 20 years.
We’re together now for two months, but I don’t think we match.
I’ts like our interests are too different, we often fight, but we can’t live without each other and we love eachother.. What should I do?Should I stay or should I go?
I’m glad that my best friend suggested this site to me. Hope u can help me guys!