If two positive integers p and q are written as p = a^2b^3 and q = a^3b

• Numbers (C10)

If two positive integers p and q are written as p = a²b³ and q = a³b; a, b are prime numbers, then verify:
LCM (p, q) × HCF (p, q) = pq

Answer

LCM (p, q) = a³b³

HCF (p, q) = a²b

LCM (p, q) × HCF (p, q) = a⁵b⁴

= (a²b³) (a³b)

= pq