If two positive integers ‘a’ and ‘b’ are written as a = pq2 and b = p3q2, where ‘p’ and ‘q’ are prime numbers, then LCM(a, b) =
  • a)
    p2q3
  • b)
    p3q2
  • c)
    pq
  • d)
    p2q2
Correct answer is option 'B'. Can you explain this answer?

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Answers

Priya Srivastava
Jan 01, 2019
LCM is p^3q^2 as LCM is the product of the greatest power of each prime factor.

Bishwanath Patra
Jan 17, 2022
We know that in finding L.C.M we take the highest power of each term given. Here highest power of p and q is 3 and 2. so option B is correct.

Kashish Juneja
Sep 11, 2018
The LCM is p^3q^2 because while taking LCM the largest quantity is taken.

LCM is p^3q^2 as LCM is the product of the greatest power of each prime factor.
LCM is p^3q^2 as LCM is the product of the greatest power of each prime factor.