What is the LCM of 10 and 6?

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

Problem

$$ \operatorname{lcm}(10, 6) $$

Solution

$$30$$

Steps

Step 1

Factor the expressions that are not already factored.
$$10=2\times 5$$ $$6=2\times 3$$

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.
$$2\times 3\times 5$$

Step 3

Expand the expression.
$$30$$
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