\(What is the smallest positive integer that can be written in the form $2002m + 44444n$, where $m$ and $n$ are integers?\)
Hey cheater, the answer is 2002. You stole this from AoPs, ok?
since the answer has to be positive one of them is one so we have 2002*(1)+4444*(0)=2002 and so 2002 is the smallest.