What is lcm a^4+a^2+1,a^2-a+1 ?

The solution to lcm a^4+a^2+1,a^2-a+1 is (a^2-a+1)(a^4+a^2+1)

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lcm a^4+a^2+1,a^2-a+1

lcm

a^{4} + a^{2} + 1, a^{2} - a + 1

(a^{2} - a + 1) (a^{4} + a^{2} + 1)

Solution steps

Find Least Common Multiplier of

a^{4} + a^{2} + 1, a^{2} - a + 1

Multiply each factor with the highest power:

(a^{2} - a + 1) \cdot (a^{4} + a^{2} + 1)

∣ x ∣ \cdot 3^{∣} x, = 1

x + 1, x^{2}, 3 x + 12 x^{2} x

4 x y^{2} - 7 x^{2} y, 12 x^{2} y - 6 x y^{2} - 3 x^{2} y + 5 x y^{2}

f, (x + 2) (x^{2} - 2 x + 4)

(- 8 + 1), (a + c)

What is lcm a^4+a^2+1,a^2-a+1 ?
The solution to lcm a^4+a^2+1,a^2-a+1 is (a^2-a+1)(a^4+a^2+1)