Find the LCD. Do not combine fractions.
\[
\frac{2}{45 x^{4} y^{6}}, \frac{1}{30 x^{6} y^{2}}
\]

Answer

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Answer

\(\boxed{LCD = 90x^6y^6}\)

Steps

Step 1 ：Find the LCM of the denominators: \(45x^4y^6\) and \(30x^6y^2\)

Step 2 ：LCM(45, 30) = \(90\)

Step 3 ：LCM(\(x^4\), \(x^6\)) = \(x^6\)

Step 4 ：LCM(\(y^6\), \(y^2\)) = \(y^6\)

Step 5 ：\(\boxed{LCD = 90x^6y^6}\)