Respuesta :

For the given question, we will find the least common multiple of the following terms:

[tex]\begin{gathered} 9u^8v^5 \\ 6u^4v^7x^2 \end{gathered}[/tex]

As shown, from every like variable, we will take the variable that has the least exponent:

[tex]\begin{gathered} The\text{ }least\text{ }common\text{ }of:6,9=3 \\ The\text{ }least\text{ }common\text{ }of:u^8,u^4=u^4 \\ The\text{ }least\text{ }common\text{ }of:v^5,v^7=v^5 \end{gathered}[/tex]

Note, the first term doesn't have a variable of x

So, the answer will be:

[tex]The\text{ }least\text{ }common\text{ }multiple=3u^4v^5\text{ }[/tex]

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