Question

if xy=p^3 q^4 & hcf (x,y) =pq^2 , then find the lcm (x,y)

Answer 1

Given :  xy=p^3 q^4 & hcf (x,y) =pq^2 ,

To Find :  the lcm (x,y)

Solution:

hcf (x,y) =pq²

lcm (x,y) = ?

LCM ( x , y) * HCF ( x , y)  = x * y

=> LCM ( x , y)pq² = p³q⁴

=> LCM ( x , y) = p²q²

LCM ( x , y) = p²q²

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Answer 2

Answer:

p^2q^2

Step-by-step explanation:

hcf

x=p*q*q*p

y=p*q*q

hcf = pq^2

LCM=p^2q^2