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What is the least common multiple of $2$ and $10$ ? $\newline$ _____

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Least common multiple

Full solution

Q. What is the least common multiple of

2

and

10

?

\newline

_____

List Multiples of $2$ : Step $1$ : List the multiples of $2$ . $\newline$ Start with $2$ and keep adding $2$ to get the next multiple. $\newline$ Multiples of $2$ : $2, 4, 6, 8, 10, 12, 14, 16, 18, 20\ldots$
List Multiples of $10$ : Step $2$ : List the multiples of $10$ . $\newline$ Start with $10$ and add $10$ for each new multiple. $\newline$ Multiples of $10$ : $10, 20, 30, 40, 50\ldots$
Identify Common Multiples: Step $3$ : Identify the common multiples from both lists. $\newline$ Common multiples from the lists above are $10, 20...$ $\newline$ The smallest of these is the $\text{LCM}$ .

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