Help!What is the smallest positive integer that can be written in the form $2002m + 44444n$, where $m$ and $n$ are integers?

Question

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$What is the smallest positive integer that can be written in the form $2002m + 44444n$, where $m$ and $n$ are integers?$

Guest Jun 30, 2020

Guest · Answer 1 · 2020-06-30T06:05:31

Hey cheater, the answer is 2002. You stole this from AoPs, ok?

jimkey17 · Answer 2 · 2020-06-30T02:47:37

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.