two positive integers p and q can be expressed as p = ab^2 and q=a^2b are the prime numbers what is the lcm of p and q
Answers
Answered by
34
P = a*b*b
Q = a*a*b
LCM = product of each factor having highest power
= a*a*b*b
= a^2b^2
Answered by
6
Step-by-step explanation:
P= a^2b
Q= ab^2
=a^3b^3
a|a^3b^3
a|a. b^3
b|1. b.
b|1. 1.
=a^2 b^2 is the lcm of p and q.
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