Question

If a=p square q cube and b= pcube q square then find its hcf and lcm of a and b

Answer 1

a=(p^2)*(q^3)

b=(p^3)*(q^2)

hcf=(p^2)*(q^2)

lcm=hcf *remaining terms

=(p^2)*(q^2)*p*q

=(p^3)*(q^3)

Answer 2

$HCF(a,b)=p^2q^2$

$LCM(a,b)=p^3q^3$

Step-by-step explanation:

Given : $a=p^2q^3$ and $b=p^3q^2$

To find : Its HCF and LCM of a and b ?

Solution :

First we factories the a and b,

$a=p\times p\times q\times q\times q$

$b=p\times p\times p\times q\times q$

HCF is the highest common factor,

$HCF(a,b)=p\times p\times q\times q$

$HCF(a,b)=p^2q^2$

LCM is the least common multiple,

$LCM(a,b)=p\times p\times p\times q\times q\times q$

$LCM(a,b)=p^3q^3$

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