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Given aaa and bbb are two integers that satisfy
lcm(x2+ax−2,x2+5x+b)=x3+4x2+x−6\large \text{lcm} \left(x^2 + ax - 2, x^2 + 5x + b\right) = x^3 + 4x^2 + x - 6lcm(x2+ax−2,x2+5x+b)=x3+4x2+x−6
Calculate a+ba + ba+b.
Notation: lcm(⋯ )\text{lcm}(\cdots)lcm(⋯) denotes the lowest common multiple.
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