How do you find the LCM of 15x^2y^315x2y3 and #18xy^2?

1 Answer
Srinivas
Oct 13, 2015

90 * x^2 * y^390⋅x2⋅y3

Explanation:

Multiply the highest powers of x and y (2 & 3 in this case; x^2x2 in 15x^2y^315x2y3 is greater than xx in 18 * x * y^218⋅x⋅y2, so consider x^2x2; Similarly y^3y3 in 15 * x^2 * y^315⋅x2⋅y3 is greater than y^2y2 in 18 * x * y^218⋅x⋅y2, so consider y^3y3. So the variable part is x^2 * y^3x2⋅y3. Coming to constant part, to find out the LCM between 15 & 18, divide both of them by 3, which is a factor of both
So {15, 18} = 3 {5, 6}. There are no common factors between 5 & 6. So the constant part of the LCM is 3 * 5 * 6 = 90
The final answer is 90 * x^2 * y^390⋅x2⋅y3

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