Question

If two positive integers a and b can be expressed as a = pq2 and b = p3q , p & q being prime
numbers, then find LCM of a and b.​

Answer 1

Step-by-step explanation:

the given number are

a = pq²

b = p³q

p,q being prime numbers

factor form of given numbers are

a = p × q × q

b = p × p × p × q

the LCM of a and b is

LCM (a,b) = p × p × p × q × q

LCM (a,b) = p³q²

therefore the LCM of (a,b) is p³q²