Find the Least Common Multiple (LCM) of 12 and 24
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12
24
48
288
The LCM of 12 and 24 is 24.
To find the Least Common Multiple (LCM) of 12 and 24, we can start by finding the prime factorizations of both numbers.
The prime factorization of 12 is 2^2 * 3^1 (where ^ represents exponentiation).
The prime factorization of 24 is 2^3 * 3^1.
To find the LCM, we need to include all the prime factors of both numbers, raised to their highest exponent. Therefore, the LCM is calculated by taking the highest exponent for each prime factor:
2^3 * 3^1 = 8 * 3 = 24.
Therefore, the LCM of 12 and 24 is 24.