Solve lcm(12,16)

$$lcm(12,16)$$

Evaluate

$$48$$

Solution Steps

Factor the expressions that are not already factored.

$$12=2^{2}\times 3 16=2^{4}$$

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

$$2^{4}\times 3$$

Expand the expression.

$$48$$

Factor

$$2^{4}\times 3$$