Question

if 2 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 1

LCM (p,q)=a³b³
HCF (p,q)=a²b
LCM (p,q)*HCF (p,q)=a5b4=(a²b³)(a³b)=pq

Answer 2

Answer:

Step-by-step explanation:

LCM (p, q) = a3

b

3

HCF (p, q) = a2

b

LCM (p, q) × HCF (p, q) = a5

b

4

= (a2

b

3

) (a3

b) = pq