If two positive i

x = p²q³ y = p³q

LCM = p²q³ HCF = p²q ..... (i)

Now, LCM = p³q³⇒ LCM = p²q(p²q)

⇒ LCM = pq² (HCF)

Yes, LCM is a multiple of HCF.

Explanation: Let a = 12 = 2² × 3

b = 18 = 2 × 3²

⇒ HCF = 2 × 3 = 6 ..... (ii)

LCM = 2² × 3² = 36

LCM = 6 × 6

LCM = 6 (HCF)

Here LCM is 6 times HCF.