What is the LCM of 14 and 21?

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

Problem

$$ \operatorname{lcm}(14, 21) $$

Solution

$$42$$

Steps

Step 1

Factor the expressions that are not already factored.
$$14=2\times 7$$ $$21=3\times 7$$

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.
$$2\times 3\times 7$$

Step 3

Expand the expression.
$$42$$
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