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The Least Common Multiple (LCM) of 12, 24, and 6 is the smallest multiple that all three numbers share. To find the LCM, you first need to find the prime factorization of each number. The prime factorization of 12 is 2^2 * 3, 24 is 2^3 * 3, and 6 is 2 * 3. Then, you take the highest power of each prime factor that appears in any of the factorizations, which gives you 2^3 * 3 = 24. Therefore, the LCM of 12, 24, and 6 is 24.
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