Joseph buys a gallon of milk every 6th day and a box of cereal every 8th day. He bought both items today. In how many days will he buy both items together again?

A.
14
B.
18
C.
32
D.
24

D. 24

stop

What is the answer?

To solve this problem, we need to find the least common multiple (LCM) of 6 and 8. The LCM is the smallest number that is divisible by both 6 and 8.

First, we can list the multiples of 6 and 8:
Multiples of 6: 6, 12, 18, 24, 30, 36, ...
Multiples of 8: 8, 16, 24, 32, ...

We can see that the first common multiple of 6 and 8 is 24. Therefore, Joseph will buy both items together again in 24 days.

So, the correct answer is option D. 24 days.