Question

If ${}^{\prime }{a}^{\prime }$ is an odd number. ${}^{\prime }{b}^{\prime }$ is not divisible by $3$ and $LCM$ of $a$ and $b$ is $y$, what is the $LCM$ of $3a$ and $2b$?

Answer 1

LCM of $3a$ and $2b$ will be $6p$

Since $a$ is odd it is not divisible by $2$ ( so we need to multiply $2$ ( from $2b$ ) with the LCM of $a$ and $b$ ).

Since $b$ is not divisible by $3$ we need to multiply $3$ ( from $3a$ with the LCM of $a$ and $b.$

Hence, this is the answer.