Question

If two positive integers p and q can be expressed as p = a²b4, q = a*b²c;
a, b, c being prime numbers, then LCM (p, q) is:,
(A) abc
(B) a*b4c
(C) a²b2c
(D) a²b2

Answer 1

Step-by-step explanation:

for, LCM we will choose highest power of a,b,c

here, power of a is 2 in p & 1 in q

power of b is 1 in p & 2 in q

power of c is 0 in p & 1 in q

LCM = a²b²c