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What is the least common multiple of 10 and 7 ?

lcm(10,7)=

What is the least common multiple of $10$ and $7$ ? $\newline$ $\operatorname{lcm}(10,7)=$

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Least common multiple of three or four numbers

Full solution

Q. What is the least common multiple of

10

and

7

?

\newline

\operatorname{lcm}(10,7)=

Identify prime factorization of $10$ : Identify the prime factorization of $10$ . $\newline$ Prime factorization of $10$ : $2 \times 5$
Identify prime factorization of $7$ : Identify the prime factorization of $7$ . $\newline$ Prime factorization of $7$ : $7$ (since $7$ is a prime number)
Identify distinct prime factors: Identify all the distinct prime factors from the prime factorization of the two numbers. $\newline$ Distinct prime factors: $2$ , $5$ , $7$
Find least common multiple (LCM): Multiply the distinct prime factors to find the least common multiple (LCM). $\newline$ Multiply $2$ , $5$ , and $7$ to find the LCM. $\newline$ $2 \times 5 \times 7 = 70$ $\newline$ LCM of $10$ and $7$ is $70$ .

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\newline

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\newline

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