This can be found by first finding the prime factorization of each number:
75 = 3 x 5 x 5
200 = 2 x 2 x 2 x 5 x 5
The lowest common multiple is the product of the highest power of each prime factor that appears in either number. In this case, the highest power of 3 is 1, the highest power of 5 is 2, and the highest power of 2 is 3. Therefore, the lowest common multiple of 75 and 200 is 3 x 5 x 5 x 2 x 2 x 2 = 600.