Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, ...

Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12?

Quiz

Answer/Solution

27,720

Steps/Work

The number needs to be divisible by 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, and 2^2*3.
The lowest positive integer is 7 * 2^3 * 3^2 * 5 * 11 = 27,720
The answer is E.