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What is the least common multiple of $7$ and $9$ ? $\newline$ ____

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Least common multiple

Full solution

Q. What is the least common multiple of

7

and

9

?

\newline

____

List Multiples of $7$ : Step $1$ : List the multiples of $7$ . $\newline$ Start with $7$ and keep adding $7$ to get the next multiple. $\newline$ Multiples of $7$ : $7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, \ldots$
List Multiples of $9$ : Step $2$ : List the multiples of $9$ . $\newline$ Start with $9$ and keep adding $9$ to get the next multiple. $\newline$ Multiples of $9$ : $9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, \ldots$
Find Common Multiples: Step $3$ : Find the common multiples from both lists. $\newline$ Common multiples of $7$ and $9$ : $63$ , $126$ , ... $\newline$ The smallest common multiple is the LCM.

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