What is the least common multiple of 12 and 9 ? lcm(12,9)=

Prime Factorization of 12: To find the least common multiple (LCM) of 12 and 9, we first need to find the prime factorization of each number. The prime factorization of 12 is 2^2 * 3^1. The prime factorization of 9 is 3^2.Prime Factorization of 9: Next, we take the highest powers of all the prime factors that appear in the factorization of both numbers to find the LCM. For the prime factor 2, the highest power is 2^2 (which appears in the factorization of 12). For the prime factor 3, the highest power is 3^2 (which appears in the factorization of 9).Finding the Highest Powers: Now, we multiply these highest powers of the prime factors to get the LCM. LCM(12, 9) = 2^2 * 3^2 LCM(12, 9) = 4 * 9 LCM(12, 9) = 36

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What is the least common multiple of 12 and 9 ?

lcm(12,9)=

What is the least common multiple of $12$ and $9$ ? $\newline$ $\operatorname{lcm}(12,9)=$

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Q. What is the least common multiple of

12

and

9

\newline

\operatorname{lcm}(12,9)=

Prime Factorization of $12$ : To find the least common multiple (LCM) of $12$ and $9$ , we first need to find the prime factorization of each number. $\newline$ The prime factorization of $12$ is $2^2 \times 3^1$ . $\newline$ The prime factorization of $9$ is $3^2$ .
Prime Factorization of $9$ : Next, we take the highest powers of all the prime factors that appear in the factorization of both numbers to find the LCM. $\newline$ For the prime factor $2$ , the highest power is $2^2$ (which appears in the factorization of $12$ ). $\newline$ For the prime factor $3$ , the highest power is $3^2$ (which appears in the factorization of $9$ ).
Finding the Highest Powers: Now, we multiply these highest powers of the prime factors to get the LCM. $\newline$ LCM( $12$ , $9$ ) = $2^2 \times 3^2$ $\newline$ LCM( $12$ , $9$ ) = $4 \times 9$ $\newline$ LCM( $12$ , $9$ ) = $36$