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To find the least common multiple (LCM) of 45100 and 30, we first need to find the prime factorization of each number. The prime factorization of 45100 is 2^2 * 5^2 * 11 * 41, and the prime factorization of 30 is 2 * 3 * 5. To calculate the LCM, we take the highest power of each prime factor that appears in either number: 2^2 * 3 * 5^2 * 11 * 41 = 49500. Therefore, the least common multiple of 45100 and 30 is 49500.
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