What is the LCM of 24 and 30?

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

Problem

$$ \operatorname{lcm}(24, 30) $$

Solution

$$120$$

Steps

Step 1

Factor the expressions that are not already factored.
$$24=2^{3}\times 3$$ $$30=2\times 3\times 5$$

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.
$$2^{3}\times 3\times 5$$

Step 3

Expand the expression.
$$120$$
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