What is lcm x^2-x-6,x^2+5x+6 ?

The solution to lcm x^2-x-6,x^2+5x+6 is (x+2)(x+3)(x-3)

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lcm x^2-x-6,x^2+5x+6

lcm

x^{2} - x - 6, x^{2} + 5 x + 6

(x + 2) (x + 3) (x - 3)

Solution steps

Find Least Common Multiplier of

x^{2} - x - 6, x^{2} + 5 x + 6

Factor

x^{2} - x - 6 : (x + 2) (x - 3)

Factor

x^{2} + 5 x + 6 : (x + 2) (x + 3)

Multiply each factor with the highest power:

(x + 2) \cdot (x + 3) \cdot (x - 3)

2 \cdot 3^{2}

\frac{8}{12}

3^{2} \cdot (- 2)^{3}

\frac{64}{16}

8^{3} - 9 \cdot \frac{2}{3}

What is lcm x^2-x-6,x^2+5x+6 ?
The solution to lcm x^2-x-6,x^2+5x+6 is (x+2)(x+3)(x-3)