Algebra Examples

16

$16$

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

The prime factors for

16

$16$ are

2 \cdot 2 \cdot 2 \cdot 2

$2 \cdot 2 \cdot 2 \cdot 2$ .

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Step 2.1

16

$16$ has factors of

2

$2$ and

8

$8$ .

2 \cdot 8

$2 \cdot 8$

Step 2.2

8

$8$ has factors of

2

$2$ and

4

$4$ .

2 \cdot 2 \cdot 4

$2 \cdot 2 \cdot 4$

Step 2.3

4

$4$ has factors of

2

$2$ and

2

$2$ .

2 \cdot 2 \cdot 2 \cdot 2

$2 \cdot 2 \cdot 2 \cdot 2$

2 \cdot 2 \cdot 2 \cdot 2

$2 \cdot 2 \cdot 2 \cdot 2$

Step 3

Multiply

2 \cdot 2 \cdot 2 \cdot 2

$2 \cdot 2 \cdot 2 \cdot 2$ .

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Step 3.1

Multiply

2

$2$ by

2

$2$ .

4 \cdot 2 \cdot 2

$4 \cdot 2 \cdot 2$

Step 3.2

Multiply

4

$4$ by

2

$2$ .

8 \cdot 2

$8 \cdot 2$

Step 3.3

Multiply

8

$8$ by

2

$2$ .

16

$16$

16

$16$