Question

If two positive integers p and q can be
expressed as p = ab5 and q = a3bc; a, b being
prime numbers, then LCM (p, q) is​

Answer 1

Answer:

Given,

p=ab

2

=a×b×b

q=a

3

b=a×a×a×b

L.C.M of p,q is a

3

b

2

Step-by-step explanation:

b) Given that, p = ab2 = a × b × b

and q = a3b = a × a × a × b

∴ LCM of p and q = LCM (ab2,a3b) = a × b × b × a × a = a3b2

[Since, LCM is the product of the greatest power of each prime factor involved in the numbers].