Question

if two positive integers p and q can be expressed as p=ab² and q=a²b;a,b being prime numbers, then find LCM(p,q)?

Answer 1

Answer:

p = a b^2

q= a^2b

a, b are prime numbers

Highest power term of a in p and q is a^2

highest power term of b in p and q is b^2

hence, LCM(p,q) = a^2 b^2

Answer 2

Answer:

LCM(p,q)= a³b²

Step by step explanation:

P = ab² = a × b × b,q = a³b = a × a × a × b,

LCM(p,q) = a × b × b(a × a) = a³b²

Here a,b are prime numbers.