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The least common multiple (LCM) of 24 and 30 can be found by determining the prime factorization of each number. The prime factorization of 24 is (2^3 \times 3^1) and for 30 it is (2^1 \times 3^1 \times 5^1). The LCM is obtained by taking the highest power of each prime factor: (2^3), (3^1), and (5^1), which gives (2^3 \times 3^1 \times 5^1 = 120). Thus, the LCM of 24 and 30 is 120.
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