Megan is thinking of a number that is divisible by both 9 and 12 what is the smallest possible number that Megan is thinking

The smallest possible number Megan is thinking, is 36.

Step-by-step explanation:

In order to answer this question, you have to find the LCM of 9 and 12.

9 = 3 x 3 (simplified)

12 = 3 x 4 (simplified)

This means that 3 and 4 are both common factors in these two numbers.

Now, multiply the common factors with the uncommon factor.

3 is an common factor, and 4 is an uncommon factor

Hence, we do 3 x 3 x 4 which is equal to 36