What is the LCM of 12 and 20?
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To find the LCM (Least Common Multiple) of 12 and 20, we can use the following steps:
Step 1: Write down the prime factorization of each number.
12 = 2^2 * 3 20 = 2^2 * 5
Step 2: Identify the common prime factors, and the highest power for each.
The common prime factors are 2 and 3. The highest power of 2 is 2^2, and the highest power of 3 is 3^1. The highest power of 5 is 5^1.
Step 3: Multiply the common prime factors with their highest powers.
LCM = 2^2 * 3^1 * 5^1 = 60
Therefore, the LCM of 12 and 20 is 60.