Pre-Algebra Examples

$34$ , $51$

Step 1

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

Step 2

$34$ has factors of $2$ and $17$ .

$2 \cdot 17$

Step 3

$51$ has factors of $3$ and $17$ .

$3 \cdot 17$

Step 4

The LCM of $34, 51$ is the result of multiplying all prime factors the greatest number of times they occur in either number.

$2 \cdot 3 \cdot 17$

Step 5

Multiply $2 \cdot 3 \cdot 17$ .

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Step 5.1

Multiply $2$ by $3$ .

$6 \cdot 17$

Step 5.2

Multiply $6$ by $17$ .

$102$