.If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is

Question

(a) ab
(b) a2b2
(c) a3b2
(d) a3b3

in progress 0
Rohit QNA 3 years 2021-12-17T16:16:11+00:00 1 Answer 36 views Enlightened 0

Answer ( 1 )

    0
    2021-12-17T16:16:28+00:00

    Answer: (c)
    Explanation:
    p = a × b × b
    q = a × a × a × b
    Since L.C.M is the product of the
    greatest power of each prime factor
    involved in the numbers
    Therefore, L.C.M of p and q = a3b2

Leave an answer