Let p(x) = x^4 + x^2 + 1, q(x) = x^4 - 2x^3 + 3x^2 - 2x + 1. If GCD of p(x) and q(x) is x^2 - x + 1, then what is their LCM ?
(x²+ x + 1)(x² -x + 1)²
(x^4 + x² + 1)²(x²- x + 1)
(x^4 + x² + 1)²(x²+ x + 1)²
(x^4 + x² + 1)²(x²- x + 1)²
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