Question #8c080

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Question #8c080

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Answer 1 · 2017-02-12T22:10:06

$12$ $12$

Explanation:

To find the LCM of two numbers (or any amount of numbers) we must first find the prime factorization of each number separately.

Let's take the number $4$ $4$ :

$4 = 2 \cdot 2$ $4 = 2 * 2$

$4 = 2^{2}$ $4 = 2^2$

Now the number $6$ $6$ :

$6 = 2 \cdot 3$ $6 = 2 * 3$

From here we must determine the factors of each number with the highest exponent.

For example, both the number $4$ $4$ and the number $6$ $6$ share the factor $2$ $2$ . But $2$ $2$ appears twice in the prime factorization of $4$ $4$ . So we must use that. We now have:

$2^{2}$ $2^2$

Another factor that appears is the number $3$ $3$ . $3$ $3$ only appears in the prime factorization of $6$ $6$ , so we must use that. Now we have:

$2^{2} \cdot 3$ $2^2 * 3$

Simplify from here.

$4 \cdot 3$ $4 * 3$

$12$ $12$

So therefore, the LCM of $4$ $4$ and $6$ $6$ is $12$ $12$ .

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Question #8c080

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