Solve {l}{text{(1)}a_{12}a_{2},a_{24}a_{42}}{text{(2)}a_{21}a_{11}a_{22}a_{12}}

$$\left. \begin{array} { l } { \text { (1) } a _ { 12 } a _ { 2 } , a _ { 24 } a _ { 42 } } \\ { \text { (2) } a _ { 21 } a _ { 11 } a _ { 22 } a _ { 12 } } \end{array} \right.$$

Least Common Multiple

$$2a_{2}a_{11}a_{12}a_{21}a_{22}a_{24}a_{42}$$

Solution Steps

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$2a_{2}a_{11}a_{12}a_{21}a_{22}a_{24}a_{42}$$

Evaluate

$$a_{2}a_{12},\ a_{24}a_{42},\ 2a_{11}a_{12}a_{21}a_{22}$$