# What is the LCM of 30 and 45?

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17
Sep 28, 2016

Least Common Multiple is $90$

#### Explanation:

Multiples of $30$ are $\left\{30 , 60 , \textcolor{red}{90} , 120 , 150 , \textcolor{red}{180} , 210 , 240 , \textcolor{red}{270} , \ldots\right\}$

Multiples of $45$ are $\left\{45 , \textcolor{red}{90} , 135 , \textcolor{red}{180} , 225 , \textcolor{red}{270} , 315 , \ldots\right\}$

Hence, common multiples are $\left\{90 , 180 , 270 , \ldots \ldots \ldots . .\right\}$

and Least Common Multiple is $90$.

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