Find the LCM.
-$6 x y, 15 x^{2}$
A) $30 x^{3} y$
B) $30 x y^{3}$
C) $30 x^{2} y$
D) $30 x y^{2}$

Name: Find the LCM. -$6 x y, 15 x^{2}$ A) $30 x^{3} y$ B) $30 x y^{3}$ C) $30 x^{2} y$ D) $30 x y^{2}$
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Question

Quizplus · Accepted Answer

The LCM of $6xy$ and $15x^2$ is found by taking the highest power of each prime factor present in either number. For the numerical coefficients, the LCM of 6 and 15 is 30. For $x$, the highest power is $x^2$ (from $15x^2$). For $y$, the highest power is $y$ (from $6xy$). Therefore, the LCM is $30x^2y$.

Find the LCM 6xy,15x26 x y, 15 x^{2}6xy,15x2 A) 30x3y30 x^{3} y30x3y

Find the LCM $6 x y, 15 x^{2}$ A) $30 x^{3} y$