QuestionFind the LCM of 9 and 12.

Studdy Solution

STEP 1

Assumptions1. We are finding the least common multiple (LCM) of two positive integers,9 and12.

STEP 2

To find the LCM of two numbers, we first need to find the prime factorization of each number.For9, the prime factorization is $^2$ .
For12, the prime factorization is $2^2 \times$ .

STEP 3

Next, we take the highest power of each prime number from the prime factorizations of9 and12.
The highest power of2 is $2^2$ (from12) and the highest power of3 is $3^2$ (from9).

STEP 4

Finally, we multiply these highest powers together to get the LCM.
$LCM =2^2 \times3^2$

STEP 5

Calculate the LCM.
$LCM =2^2 \times3^2 =4 \times9 =36$ The least common multiple (LCM) of9 and12 is36.

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