The least common multiple of 20 and 14 is:

Question

(1 point)
Responses

280
280

20
20

140
140

70

Answer 1

To find the least common multiple (LCM) of 20 and 14, we can use the prime factorization method.

1. Prime factorization:

   • 20 = 2^2 × 5
   • 14 = 2^1 × 7

2. To find the LCM, take the highest power of each prime factor:

   • For the prime factor 2, the highest power is 2^2 (from 20).
   • For the prime factor 5, the highest power is 5^1 (from 20).
   • For the prime factor 7, the highest power is 7^1 (from 14).

3. Now multiply these together to find the LCM: LCM = 2^2 × 5^1 × 7^1 = 4 × 5 × 7 = 20 × 7 = 140.

Therefore, the least common multiple of 20 and 14 is 140.

So the correct response is: 140