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
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.