Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years. They both purchased new cars this year. When will they next both purchase new cars in the same year?

Answer 1

To find out when Mr. Hon and Ms. Jasper will next purchase new cars in the same year, we need to find the least common multiple (LCM) of 4 and 6, since the LCM represents the smallest shared multiple of both numbers.

The prime factors of 4 are 2 and 2 (2 x 2).
The prime factors of 6 are 2 and 3 (2 x 3).

To find the LCM, we take the highest power of each prime factor that appears in either number:
2 x 3 x 2 = 12

Therefore, Mr. Hon and Ms. Jasper will next purchase new cars in the same year in 12 years.