January 2023

The least common multiple of 6 and 4 is 12, so every number that they both say is a multiple of 12. This means that the answer to the question is the number of numbers that are between 5000 and 6000 and are divisible by 12.

The lowest number greater than or equal to 5000 that is divisible by 12 is 5004. The greatest number less than or equal to 6000 that is divisible by 12 is 6000.

(6000-5004)/12 = 83

Therefore 83 is the number of numbers that are divisible by 12 after 5004 and stopping at 6000, so you add 1 to account for 5004.

Therefore the answer is 84