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What is the least common multiple of $5$ and $7$ ? $\newline$ _____

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Least common multiple

Full solution

Q. What is the least common multiple of

5

and

7

?

\newline

_____

Identify Multiples of $5$ : Identify the multiples of $5$ . $\newline$ Start with $5$ and keep adding $5$ to get the next multiple. $\newline$ Multiples of $5$ : $5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, \ldots$
Identify Multiples of $7$ : Identify the multiples of $7$ . Start with $7$ and keep adding $7$ to get the next multiple. Multiples of $7$ : $7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, \ldots$
Find Least Common Multiple: Find the least common multiple of $5$ and $7$ . $\newline$ Looking at the lists: Multiples of $5$ and $7$ that appear in both lists are $35$ , $70$ , ... $\newline$ The smallest of these is $35$ .

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