Which of the following is the smallest positive integer that is divisible by 2, 3, and 4?

Solution:

To find the smallest positive integer divisible by 2, 3, and 4, we need to find the least common multiple (LCM) of these numbers.

First, find the prime factorization of each number:

• 2 = 2
• 3 = 3
• 4 = 2^2

To find the LCM, take the highest power of each prime factor present in the factorizations:

LCM(2, 3, 4) = 2^2 * 3 = 4 * 3 = 12

The smallest positive integer divisible by 2, 3, and 4 is 12.

Answer: 12