What is the LCM of 612 and 78?

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

Problem

$$ \operatorname{lcm}(612, 78) $$

Solution

$$7956$$

Steps

Step 1

Factor the expressions that are not already factored.
$$612=2^{2}\times 3^{2}\times 17$$ $$78=2\times 3\times 13$$

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.
$$2^{2}\times 3^{2}\times 13\times 17$$

Step 3

Expand the expression.
$$7956$$
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