(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a,b,c belong to Z with (a,b)=1. Prove that if a|c and b|c, then ab|c

2. Relevant equations

let a1,a2.....an, c belong to Zwith a1....an pairwise relatively prime, prove if ai|c for each i, then a1a2....an|c

3. The attempt at a solution

if a|c, then c=ea, b|c, then c=fb, then which the next step and how it relates with (a,b)=1

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# Number theory problem

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