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To find the least common multiple (LCM) of 9, 21, and 16, we first need to find the prime factorization of each number. The prime factorization of 9 is 3^2, 21 is 3 * 7, and 16 is 2^4. To calculate the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^4 * 3^2 * 7 = 504. Therefore, the least common multiple of 9, 21, and 16 is 504.
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