What is the least common multiple of 4 and 10 ? lcm(4,10)=

List Prime Factors: To find the least common multiple (LCM) of 4 and 10, we first need to list the prime factors of each number. The prime factors of 4 are 2 x 2. The prime factors of 10 are 2 x 5.Identify Highest Powers: Next, we identify the unique prime factors from both numbers and the highest power of each prime factor that appears in the factorization of either number. For 4, the highest power of 2 is 2^2. For 10, the highest power of 2 is 2^1 and the highest power of 5 is 5^1.Calculate LCM: Now, we multiply the highest powers of all the prime factors to find the LCM. LCM(4, 10) = 2^2 * 5^1 LCM(4, 10) = 4 * 5 LCM(4, 10) = 20

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What is the least common multiple of 4 and 10 ?

lcm(4,10)=

What is the least common multiple of $4$ and $10$ ? $\newline$ $\operatorname{lcm}(4,10)=$

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Q. What is the least common multiple of

4

and

10

\newline

\operatorname{lcm}(4,10)=

List Prime Factors: To find the least common multiple (LCM) of $4$ and $10$ , we first need to list the prime factors of each number. $\newline$ The prime factors of $4$ are $2 \times 2$ . $\newline$ The prime factors of $10$ are $2 \times 5$ .
Identify Highest Powers: Next, we identify the unique prime factors from both numbers and the highest power of each prime factor that appears in the factorization of either number. $\newline$ For $4$ , the highest power of $2$ is $2^2$ . $\newline$ For $10$ , the highest power of $2$ is $2^1$ and the highest power of $5$ is $5^1$ .
Calculate LCM: Now, we multiply the highest powers of all the prime factors to find the LCM. $\newline$ LCM( $4$ , $10$ ) = $2^2 \times 5^1$ $\newline$ LCM( $4$ , $10$ ) = $4 \times 5$ $\newline$ LCM( $4$ , $10$ ) = $20$