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To find the next year they will both purchase new cars, we need to find the least common multiple (LCM) of 4 and 6.
Prime factorization of 4: 2 * 2
Prime factorization of 6: 2 * 3
Multiplying the highest powers of all prime factors together gives the LCM: 2 * 2 * 3 = 12
Therefore, they will next purchase new cars in the same year in 12 years.
So the correct answer is C. in 12 years.