Let a|c and b|c, and (a,b)=1, prove that ab divides c.

At first, I don't think this is right. For instance, let a=1 and b=2, then (a,b)=1. However, if c=3, then 2 can't divides 3 which implies b can't divides c......

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- March 2nd 2010, 11:17 PMrainyiceProve that ab divides c.
Let a|c and b|c, and (a,b)=1, prove that ab divides c.

At first, I don't think this is right. For instance, let a=1 and b=2, then (a,b)=1. However, if c=3, then 2 can't divides 3 which implies b can't divides c...... - March 3rd 2010, 12:42 AMSwlabr
- March 3rd 2010, 07:53 AMrainyice
- March 3rd 2010, 10:42 AMSwlabr