The least common multiple of 16 and 24 is:
(1 point)
Responses
48
48
24
24
96
96
288
The least common multiple of 16 and 24 is 48.
To find the least common multiple (LCM) of 16 and 24, you can use the following steps:
Step 1: List the prime factors of each number:
- The prime factorization of 16 is 2^4.
- The prime factorization of 24 is 2^3 * 3.
Step 2: Find the highest power of each prime factor:
- The highest power of 2 is 2^4.
- The highest power of 3 is 3^1.
Step 3: Multiply the highest powers of the prime factors:
2^4 * 3^1 = 16 * 3 = 48.
Therefore, the least common multiple (LCM) of 16 and 24 is 48.