Question

If two positive integers x and y are expressible in terms of primes as x = p2q

3

and y =

p

3q, what can you say about their LCM and HCF. Is LCM a multiple of HCF? Explain.​

Answer 1

Answer:

We have,x=p2q3Andy=p3q∴LCM =p3q3And HCF=p2qLCM is always a multiple of HCF.

Answer 2

Step-by-step explanation:

x = p2q3 and y = p3q HCF(x, y) = p2 x q LCM(x, y) = p3 x q3 LCM(x, y) = (p x q2) x HCF(x, y) => LCM is a multiple of HCF.Read more on Sarthaks.com - https://www.sarthaks.com/12870/two-positive-integers-and-are-expressible-terms-primes-what-can-you-say-about-their-lcm-hcf