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What is the least common multiple of $2$ , $9$ , and $12$ ? $\newline$ _____

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Least common multiple of three or four numbers

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Q. What is the least common multiple of

2

,

9

, and

12

?

\newline

_____

Prime Factorization of $2$ : Step $1$ : Prime factorization of $2$ . Prime factorization of $2$ : $2$ .
Prime Factorization of $9$ : Step $2$ : Prime factorization of $9$ . $\newline$ Prime factorization of $9$ : $3 \times 3$ .
Prime Factorization of $12$ : Step $3$ : Prime factorization of $12$ . $\newline$ Prime factorization of $12$ : $2 \times 2 \times 3$ .
Identify Prime Factors: Step $4$ : Identify all distinct prime factors. $\newline$ Distinct prime factors: $2, 3$ .
Multiply Prime Factors: Step $5$ : Multiply the highest powers of all prime factors. $2^2 \times 3^2 = 4 \times 9 = 36$ .

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