What is the least common multiple of 12 and 16? lcm(12,16)=

Find Prime Factorization: To find the least common multiple (LCM) of 12 and 16, 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 16 is 2^4.Identify Highest Powers: Next, we identify the highest powers of all the prime factors that appear in the factorization of both numbers. For the prime factor 2, the highest power is 2^4 (from the factorization of 16). For the prime factor 3, the highest power is 3^1 (from the factorization of 12).Calculate LCM: We then multiply these highest powers together to find the LCM. LCM(12, 16) = 2^4 * 3^1 = 16 * 3 = 48.

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What is the least common multiple of 12 and
16?

lcm(12,16)=

What is the least common multiple of $12$ and $16$ ? $\newline$ $\operatorname{lcm}(12,16)=$

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Q. What is the least common multiple of

12

and

16

\newline

\operatorname{lcm}(12,16)=

Find Prime Factorization: To find the least common multiple (LCM) of $12$ and $16$ , 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 $16$ is $2^4$ .
Identify Highest Powers: Next, we identify the highest powers of all the prime factors that appear in the factorization of both numbers. $\newline$ For the prime factor $2$ , the highest power is $2^4$ (from the factorization of $16$ ). $\newline$ For the prime factor $3$ , the highest power is $3^1$ (from the factorization of $12$ ).
Calculate LCM: We then multiply these highest powers together to find the LCM. $\newline$ LCM( $12$ , $16$ ) = $2^4 \times 3^1 = 16 \times 3 = 48$ .