SOLUTION: Fine LCM for this 2x to the 3rd power,5y to the 2nd power,15xy to the 2nd power?

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Question 826157: Fine LCM for this
2x to the 3rd power,5y to the 2nd power,15xy to the 2nd power?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If you know how to find lowest common multiples for whole numbers using prime factorizations, the method is the same here. Some of the factors of your given numbers are variable, but you can treat them as if they were primes.

If these numbers are not what you wanted, then you need to express them unambiguously:
'
Your given numbers:
%282x%29%5E3, %285y%29%5E2, %2815xy%29%5E2;
The list of all factors present is 2, 3, 5, x, y.
'
Factor_________________Highest occurance
2______________________3
3______________________2------comes in "15"
5______________________2
x______________________3
y______________________2
'
The common multiple you would want is 2%5E3%2A3%5E2%2A5%5E2%2Ax%5E3%2Ay%5E2,
9%2A25%2A8%2Ax%5E3%2Ay%5E2
highlight%281800x%5E3%2Ay%5E2%29