What is lcm 8x^2y,12xy^2z ?

The solution to lcm 8x^2y,12xy^2z is 24x^2y^2z

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lcm 8x^2y,12xy^2z

lcm

8 x^{2} y, 12 x y^{2} z

24 x^{2} y^{2} z

Solution steps

Find Least Common Multiplier of

8 x^{2} y, 12 x y^{2} z

Factor

8 x^{2} y

2^{3} \cdot x^{2} \cdot y

Factor

12 x y^{2} z

2^{2} \cdot 3 \cdot x \cdot y^{2} \cdot z

Multiply each factor with the highest power:

2^{3} \cdot 3 \cdot x^{2} \cdot y^{2} \cdot z

Simplify

24 x^{2} y^{2} z

- (9)^{2} - (- 6)^{2} + 3 (- 20)

1 3^{2} - 5^{2}

\frac{27}{3}

8 + 2 (2 + 2)

8 - (3 (- 2) - 2)^{2}