What is the lowest common multiple of 8 and 14?

The lowest common multiple (LCM) of 8 and 14 is 56.

To find the LCM, we can list the multiples of each number:

• Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, …
• Multiples of 14: 14, 28, 42, 56, 70, …

Now we look for the smallest multiple that appears in both lists, which is 56. Therefore, the LCM of 8 and 14 is 56.

Alternatively, we can use the prime factorization method:

• The prime factorization of 8 is 2 x 2 x 2 (or 2³).
• The prime factorization of 14 is 2 x 7.

For the LCM, we take the highest power of each prime:

• 2³ from 8
• 7¹ from 14

Multiplying these together gives us: 2³ x 7¹ = 8 x 7 = 56. Thus, we confirm that the LCM of 8 and 14 is indeed 56.