Question 1208433
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The LCM must contain each factor the greatest number of times it occurs in each polynomial.<br>
x^2-x-12 = (x-4)(x+3)
x^2-8x+16 = (x-4)(x-4) = (x-4)^2<br>
The LCM is (x+3)(x-4)^2.<br>
The process extends easily to 3 or more polynomials:<br>
x^2+4x+4 = (x+2)^2
x^3+2x^2 = x^2(x+2)
(x+2)^3 = (x+2)^3<br>
The LCM is x^2(x+2)^3.<br>