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How do you find the least common multiple for each pair #3x^2y^6, 4x^3y^2#?

Answer 1

Treat x and y like prime numbers.

The LCM for 3 and 4 (the coefficients of both) would be 12. The LCM for #x^2# and #x^3# is #x^3# (because #x^3# is divisible by both #x^2# and #x^3#). The LCM for #y^6# and #y^2# is #y^6# (because #y^6# is divisible by both #y^6# and #y^2#). Therefore the least common multiple for the pair #3x^2y^6# and #4x^3y^2# is 12#x^3y^6#.

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Answer 2

Genesis Allen

To find the least common multiple (LCM) for each pair 3x^2y^6 and 4x^3y^2, we need to determine the highest power of each variable that appears in either expression.

For x, the highest power is x^3 in 4x^3y^2. For y, the highest power is y^6 in 3x^2y^6.

Therefore, the LCM for 3x^2y^6 and 4x^3y^2 is 4x^3y^6.

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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.