what is the least common multiple of 6 and 28
The least common multiple of 6 and 28 is 84.
To find the least common multiple (LCM) of two numbers, you can use the following steps:
1. List the multiples of each number:
- Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
- Multiples of 28: 28, 56, 84, 112, 140, ...
2. Identify the first common multiple in the two lists. In this case, it is 28.
Therefore, the least common multiple (LCM) of 6 and 28 is 28.
To find the least common multiple (LCM) of two numbers, you can use the prime factorization method. Here's how you can do it step-by-step for 6 and 28:
Step 1: Write the prime factorization of each number.
- The prime factorization of 6 is 2 * 3.
- The prime factorization of 28 is 2 * 2 * 7.
Step 2: Identify the common prime factors.
- Both 6 and 28 have the prime factor 2.
Step 3: Multiply the common prime factors.
- The common prime factor 2 appears twice in the prime factorization of 28.
- The other prime factors (3 and 7) are not common.
So, to find the LCM, you multiply the common prime factors along with any remaining prime factors:
LCM(6, 28) = 2 * 2 * 3 * 7 = 84.
Therefore, the least common multiple of 6 and 28 is 84.