SOLUTION: What is the LCM of 6x^2y^3z and 15x^3yz^2 I know the LCM of 6 and 15 is 30 but I don't know what to do with the exponents

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Question 151865: What is the LCM of 6x^2y^3z and 15x^3yz^2
I know the LCM of 6 and 15 is 30 but I don't know what to do with the exponents
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
What is the LCM of 6x^2y^3z and 15x^3yz^2
I know the LCM of 6 and 15 is 30 but I don't know what to do with the exponents.
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You know 30 is the lcm of 6 and 15 because 30 is the smallest number
that both 6 and 15 divide evenly.
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So look at x^2 and x^3; Do you see that x^3 is the smallest monomial that
both x^2 and x^3 divide evenly?
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And looking at y^3 and y; Do you see that y^3 is the smallest?
And looking at z and z^2: Do you see that z^2 is the smallest?
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So your lcm is 30x^3y^3z^2
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Cheers,
Stan H.