Final answer:
The smallest number divisible by both 2 and 3 is calculated by finding their least common multiple, which is the product of the two numbers. The correct answer is 6.
Step-by-step explanation:
The question asks to calculate the smallest number divisible by both 2 and 3. To find this number, we need to determine the least common multiple (LCM) of the two numbers. Since 2 and 3 have no common factors other than 1, their LCM is simply their product.
So, the LCM of 2 and 3 is 2 × 3 = 6. Therefore, the smallest number divisible by both 2 and 3 is 6. Looking at the provided options, the correct choice that represents this value is c) ₆.