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What is the least common multiple of 12 and 10 ?

lcm(12,10)=

What is the least common multiple of $12$ and $10$ ? $\newline$ $\operatorname{lcm}(12,10)=$

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Variance and standard deviation

Full solution

Q. What is the least common multiple of

12

and

10

?

\newline

\operatorname{lcm}(12,10)=

Prime factorization of $12$ : To find the LCM of $12$ and $10$ , we first need to find the prime factorization of each number. $\newline$ Prime factorization of $12$ : $12 = 2^2 \times 3$ $\newline$ Prime factorization of $10$ : $10 = 2 \times 5$
Prime factorization of $10$ : 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 $12$ and $10$ , the highest powers of the prime factors are $2^2$ , $3$ , and $5$ .
Finding the highest powers of prime factors: Now, we multiply these highest powers together to get the LCM. $\newline$ LCM( $12$ , $10$ ) = $2^2 \times 3 \times 5$ $\newline$ LCM( $12$ , $10$ ) = $4 \times 3 \times 5$ $\newline$ LCM( $12$ , $10$ ) = $12 \times 5$ $\newline$ LCM( $12$ , $10$ ) = $60$

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