What is the LCM of 36 and 48?

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

Problem

$$ \operatorname{lcm}(36, 48) $$

Solution

$$144$$

Steps

Step 1

Factor the expressions that are not already factored.
$$36=2^{2}\times 3^{2}$$ $$48=2^{4}\times 3$$

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

Step 3

Expand the expression.
$$144$$
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