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How do you find the Least common multiple of #16x^2y, 32x#?

Answer 1

#LCM = 32x^2y#

The least common multiple in this case can be found by writing the factors of both the terms. #16x^2y = 2xx2xx2xx2xx x xx x xxy# #32x = 2xx2xx2xx2xx2xx x# We find the common terms which are #2^4 and x# in this case. The terms left are #2, x and y#. To get the LCM, we multiply the common terms with the terms that are left. So, LCM = #2^4xx x xx2xx x xxy# Therefore, LCM = #32x^2y#

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Answer 2

Noah Archer

To find the least common multiple (LCM) of 16x^2y and 32x, you first factorize both expressions. Then, you take the highest power of each factor that appears in either expression, and multiply them together to get the LCM.

16x^2y factors into 2 * 2 * 2 * 2 * x * x * y. 32x factors into 2 * 2 * 2 * 2 * 2 * x.

Taking the highest power of each factor, we have: Highest power of 2: 2 * 2 * 2 * 2 = 16. Highest power of x: x * x = x^2. Factor y appears only in 16x^2y.

So, the LCM of 16x^2y and 32x is 16x^2y.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.