What is the least common multiple of 8 and 14?
8, 16, 24, 32, 40, 48, 56, 64, 72
14, 28, 42, 56, 70, 84
Which number appears in both lists of multiples?
thanks its 56 because I wrote 112
You're welcome.
To find the least common multiple (LCM) of two numbers, such as 8 and 14, you need to identify the smallest number that is divisible by both of them. Here's how you can find the LCM of 8 and 14:
1. Prime factorization: Start by finding the prime factorization of both numbers.
- The prime factors of 8 are 2 x 2 x 2.
- The prime factors of 14 are 2 x 7.
2. Identify common prime factors: Look for the common prime factors between the two factorizations.
- The common prime factor is 2.
3. Combine all factors: Multiply all the prime factors, including the common factors, once.
Calculating the LCM:
2 x 2 x 2 x 7 = 56
Hence, the LCM of 8 and 14 is 56.