Questions: Find the least common multiple of these two expressions. 12y^6w^4 and 9y^7u^2w^5

Find the least common multiple of these two expressions. 12y^6w^4 and 9y^7u^2w^5
Transcript text: Find the least common multiple of these two expressions. \[ 12 y^{6} w^{4} \text { and } 9 y^{7} u^{2} w^{5} \]
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Solution

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Solution Steps

Step 1: Identify the unique variables and their powers
  • For variable $u$, the highest power is 2.
  • For variable $w$, the highest power is 5.
  • For variable $y$, the highest power is 7.
Step 2: Find the LCM of the coefficients
  • The LCM of the coefficients is 36.
Step 3: Combine the results
  • The final expression is $36u^2w^5y^7$.

Final Answer:

The LCM of the given expressions is $36u^2w^5y^7$.

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