Does the HCF of any two no is always a factor of their LCM?

If two numbers are expressed as ab and cb this is easier to work out. Assume that a and c have no common prime factors. Thus, the HCF of the two numbers will be b. The LCM is the two numbers multiplied by each other, divided by the HCF. So the LCM will be abc.

b is a factor of abc, and so the HCF will always be a factor of their LCM.