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What is the LCM of 9 and 12?

1 Answer

May 1, 2017

A = $3^{2} \cdot 2^{2}$ $3^2 * 2^2$
= $9 \cdot 4$ $9*4$
= $36$ $36$

Explanation:

Find the Prime Decomposition ( $P d$ $Pd$ ) of the two numbers

= $P d (9)$ $Pd (9)$ = $3^{2}$ $3^2$
= $P d (12)$ $Pd(12)$ = $2^{2} \cdot 3$ $2^2 * 3$

Find the product of the number with the greatest exponent - for example: $3^{2} > 3$ $3^2 > 3$

= $3^{2} \cdot 2^{2}$ $3^2 * 2^2$
= $36$ $36$

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