a^x^,6axy^,9ay^ what is the L.C.M of this

To find the Least Common Multiple (LCM) of the algebraic terms \( a^x \), \( 6axy \), and \( 9ay \), we need to:

1. **Factorize each term:**  
   - \( a^x \) is already in its simplest form.
   - \( 6axy = 2 \cdot 3 \cdot a \cdot x \cdot y \).
   - \( 9ay = 3^2 \cdot a \cdot y \).

2. **Determine the highest power of each factor present in any of the terms:**
   - For \( a \): The highest power of \( a \) appears in \( a^x \), so we use \( a^x \).
   - For \( x \): The factor \( x \) appears only in \( 6axy \), so we use \( x \).
   - For \( y \): The factor \( y \) appears in \( 6axy \) and \( 9ay \), so we use \( y \).
   - For the numbers: The LCM of 1, 6, and 9 is 18.

3. **Combine these to get the LCM:**  
   Therefore, the LCM is \( 18a^xxy \).

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a^x, 6axy, 9ay - what is the L.C.M of this?

Learn how to find the Least Common Multiple (LCM) of algebraic terms a^x, 6axy, and 9ay using factorization techniques. This detailed solution explains the steps for determining the highest power of each variable and the LCM of constants, ideal for students in Grades 8-10.

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