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......
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......