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What is the least common multiple of $12$ and $8$ ? $\newline$ _____

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Least common multiple

Full solution

Q. What is the least common multiple of

12

and

8

?

\newline

_____

List Multiples of $12$ : Step $1$ : List the multiples of $12$ . $\newline$ Start with $12$ and keep adding $12$ to find more multiples. $\newline$ Multiples of $12$ : $12, 24, 36, 48, 60, 72, 84, 96, 108, 120\ldots$
List Multiples of $8$ : Step $2$ : List the multiples of $8$ . $\newline$ Start with $8$ and keep adding $8$ to find more multiples. $\newline$ Multiples of $8$ : $8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96\ldots$
Find Common Multiples: Step $3$ : Find the common multiples of $12$ and $8$ . Common multiples from the lists: $24$ , $48$ , $72$ , $96$ ...
Identify LCM: Step $4$ : Identify the smallest common multiple. $\newline$ The least common multiple (LCM) of $12$ and $8$ is $24$ .

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