Question

If one number is divisible by another number, what is the
LCM?

Answer 1

Answer:

To prove is that every common multiple of a,b is a multiple of the lcm.

Suppose d=lcm(a,b) and d∤c then we have c=dx+y with 0<y<d

So y=c−dx and a,b|(c−dx) which is a contradiction with the assumption that d is the lcm