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# Number Theory Problem Watch

1. a,b,c,d,e are positive integers, a and b are coprime. Also

c|a
d|b
cd|e|ab

show that e=cd

I haven't really got going on this one.
2. (Original post by jsmithy11)
a,b,c,d,e are positive integers, a and b are coprime. Also

c|a
d|b
cd|e|ab

show that e=cd

I haven't really got going on this one.
Assuming that's the only information you've got, I'd look for a counterexample where e does not equal cd.
3. (Original post by jsmithy11)
Spoiler:
Show
a,b,c,d,e are positive integers, a and b are coprime. Also

c|a
d|b
cd|e|ab

show that e=cd

I haven't really got going on this one.

This is obviously false.

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