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What is the least common multiple of $9$ and $12$ ? $\newline$ _____

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Least common multiple

Full solution

Q. What is the least common multiple of

9

and

12

?

\newline

_____

List Multiples of $9$ : Step $1$ : List the multiples of $9$ . $\newline$ Start with $9$ and keep adding $9$ to find more multiples. $\newline$ Multiples of $9$ : $9, 18, 27, 36, 45, 54, \ldots$
List Multiples of $12$ : Step $2$ : List the multiples of $12$ . $\newline$ Start with $12$ and keep adding $12$ to find more multiples. $\newline$ Multiples of $12$ : $12, 24, 36, 48, 60, 72, \ldots$
Find Common Multiples: Step $3$ : Find the common multiples from both lists. $\newline$ Common multiples of $9$ and $12$ : $36$ , $72$ , ...
Identify Smallest Common Multiple: Step $4$ : Identify the smallest common multiple. $\newline$ The least common multiple of $9$ and $12$ is $36$ .

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