What is the LCM of 15 and 9?

This Math problem belongs to the Pre-Algebra category. Use our LCM Calculator to solve similar problems with step-by-step solutions.

Problem

$$ \operatorname{lcm}(15, 9) $$

Solution

$$45$$

Steps

Step 1

Factor the expressions that are not already factored.
$$15=3\times 5$$ $$9=3^{2}$$

Step 2

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
$$3^{2}\times 5$$

Step 3

Expand the expression.
$$45$$
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