The least common multiple (LCM) of two numbers is the smallest number that is divisible by both of the original numbers. To find the LCM of 12 and 56, we can follow these steps:
Step 1: List the multiples of each number:
- For 12: 12, 24, 36, 48, 60, 72, ...
- For 56: 56, 112, 168, 224, 280, ...
Step 2: Identify the first common multiple in the lists above:
- The first common multiple of 12 and 56 is 168.
Step 3: The LCM is the smallest common multiple in the lists:
- Therefore, the LCM of 12 and 56 is 168.
In conclusion, the least common multiple of 12 and 56 is 168.
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