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

1 answer

To find out when both 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.

Prime factorizing 4: 4 = 2^2
Prime factorizing 6: 6 = 2 * 3

The LCM of 4 and 6 is calculated by taking the highest power of each prime factor that appears in either number: LCM(4, 6) = 2^2 * 3 = 12.

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