What is lcm x^2+14x,-5x+x^2 ?

The solution to lcm x^2+14x,-5x+x^2 is x(x+14)(x-5)

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lcm x^2+14x,-5x+x^2

lcm

x^{2} + 14 x, - 5 x + x^{2}

x (x + 14) (x - 5)

Solution steps

Find Least Common Multiplier of

x^{2} + 14 x, - 5 x + x^{2}

Factor

x^{2} + 14 x : x (x + 14)

Factor

- 5 x + x^{2} : x (x - 5)

Multiply each factor with the highest power:

x \cdot (x + 14) \cdot (x - 5)

2 x^{2} - 9 x^{2}, 5 - 3 x

5 x + 3 y, 2 x - 6 y, - 4 x - 2 y

3 x + 2 y - 9 z, 5 z - 9 p + 7 q

1, 5, 6, 11, (x), 28 x

\frac{2}{3} x, \frac{1}{3} x, 4 x

What is lcm x^2+14x,-5x+x^2 ?
The solution to lcm x^2+14x,-5x+x^2 is x(x+14)(x-5)