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What is the LCM of 24a, $32 a^{4}$ $32a^4$ ?

1 Answer

Oct 17, 2015

$L C M (24 a, 32 a^{4}) = \frac{24 a \cdot 32 a^{4}}{G C D (24 a, 32 a^{4})} = 96 a^{4}$ $LCM(24a,32a^4) = (24a*32a^4)/(GCD(24a,32a^4)) = 96a^4$

Explanation:

The GCD (Greatest Common Divisor) of $24$ $24$ and $32$ $32$ is $8$ $8$

The GCD of $a$ $a$ and $a^{4}$ $a^4$ is $a$ $a$

Therefore
$XXX G C D (24 a, 32 a^{4}) = 8 a$ $color(white)("XXX")GCD(24a,32a^4) = 8a$
and
$XXX L C M (24 a, 32 a^{4}) = \frac{24 a \cdot 32 a^{4}}{8 a}$ $color(white)("XXX")LCM(24a,32a^4) = (24a*32a^4)/(8a)$

$XXXXXXXXXXXXX = 96 a^{4}$ $color(white)("XXXXXXXXXXXXX")=96a^4$

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