Question

Find the HCF and LCM of the following Expressions:
$2009b^2{y}^5,44b^4{y}^3$

Answer 1

The given monomials $2009b^2{y}^5$ and $44b^4{y}^3$ can be factorised as follows:

$2009b^2{y}^5=7\times 7\times 41\times b\times b\times y\times y\times y\times y\times y44b^4{y}^3=2\times 2\times 11\times b\times b\times b\times b\times y\times y\times y$

We know that $HCF$ is the highest common factor, therefore, the $HCF$ of $2009b^2{y}^5$ and $44b^4{y}^3$ is:

$HCF=b\times b\times y\times y\times y=b^2{y}^3$

Also, the $LCM$ is the least common multiple, therefore, the $LCM$ of $2009b^2{y}^5$ and $44b^4{y}^3$ is:

$LCM=7\times 7\times 41\times 2\times 2\times 11\times b\times b\times b\times b\times y\times y\times y\times y\times y=88396b^4{y}^5$

Hence, the $HCF$ is $b^2{y}^3$ and $LCM$ is $88396b^4{y}^5$.