Find the least common multiple of x^2+x-12 and x^2+2x-15

Find the least common multiple of x^2+x-12 and x^2+2x-15

Input
lcm(x^2 + x – 12, x^2 + 2 x – 15)
Alternate form
lcm((x – 3) (x + 4), (x – 3) (x + 5))
Alternative representation
lcm(x^2 + x – 12, x^2 + 2 x – 15) = ((x^2 + x – 12) (x^2 + 2 x – 15))/(gcd(x^2 + x – 12, x^2 + 2 x – 15)) for (x + x^2 element Z and x + x^2>12 and x (2 + x) element Z and x (2 + x)>15)

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