Algebra Examples

32

$32$

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

32

$32$ are

2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

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

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Step 2.1

32

$32$ has factors of

2

$2$ and

16

$16$ .

2 \cdot 16

$2 \cdot 16$

Step 2.2

16

$16$ has factors of

2

$2$ and

8

$8$ .

2 \cdot 2 \cdot 8

$2 \cdot 2 \cdot 8$

Step 2.3

8

$8$ has factors of

2

$2$ and

4

$4$ .

2 \cdot 2 \cdot 2 \cdot 4

$2 \cdot 2 \cdot 2 \cdot 4$

Step 2.4

4

$4$ has factors of

2

$2$ and

2

$2$ .

2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

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

2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

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

Step 3

Multiply

2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

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

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Step 3.1

Multiply

2

$2$ by

2

$2$ .

4 \cdot 2 \cdot 2 \cdot 2

$4 \cdot 2 \cdot 2 \cdot 2$

Step 3.2

Multiply

4

$4$ by

2

$2$ .

8 \cdot 2 \cdot 2

$8 \cdot 2 \cdot 2$

Step 3.3

Multiply

8

$8$ by

2

$2$ .

16 \cdot 2

$16 \cdot 2$

Step 3.4

Multiply

16

$16$ by

2

$2$ .

32

$32$

32

$32$

32

$32$

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