Find the LCM.
-$8 x y, 12 x^{2}$
A) $24 x^{2} y$
B) $24 x y^{3}$
C) $24 x y^{2}$
D) $24 x^{3} y$

Name: Find the LCM. -$8 x y, 12 x^{2}$ A) $24 x^{2} y$ B) $24 x y^{3}$ C) $24 x y^{2}$ D) $24 x^{3} y$
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Question

Quizplus · Accepted Answer

The LCM of $8xy$ and $12x^2$ is found by taking the highest power of each prime factor present in either number. For the numerical coefficients, the LCM of 8 and 12 is 24. For $x$, the highest power is $x^2$ (from $12x^2$). For $y$, the highest power is $y$ (from $8xy$). Therefore, the LCM is $24x^2y$.

Find the LCM 8xy,12x28 x y, 12 x^{2}8xy,12x2 A) 24x2y24 x^{2} y24x2y

Find the LCM $8 x y, 12 x^{2}$ A) $24 x^{2} y$