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Least Common Multiple
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6\left(3m+n\right)m+2=2\left(9m^{2}+3mn+1\right) 6m+2n=2\left(3m+n\right)
Factor the expressions that are not already factored.
2\left(3m+n\right)\left(9m^{2}+3mn+1\right)
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
54m^{3}+6mn^{2}+6m+36nm^{2}+2n
Expand the expression.