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

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

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

lcm

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

(x - 2) (x - 3)

Solution steps

Find Least Common Multiplier of

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

Factor

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

Multiply each factor with the highest power:

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

\frac{( 4 + 2 x )}{3} >, x^{9} - 3

x^{2} + 2 x + 1, 3 x^{3} + x^{2} + 2 x + 5

2 + 3, (2 x + 3)

\frac{4}{3} \cdot x^{2}, - \frac{1}{2} \cdot x, \frac{6}{5} \cdot x^{3}

3 a - 2 b + c, 5 a + 8 b - 7 c