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Least Common Multiple
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a^{3}+1=\left(a+1\right)\left(a^{2}-a+1\right)
Factor the expressions that are not already factored.
\left(a+1\right)\left(a^{2}-a+1\right)b^{3}
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
a^{3}b^{3}+b^{3}
Expand the expression.