what is the least common multiple for 12 and 30?
12 = 2 * 2 * 3
30 = 2 * 3 * 5
You choose.
12 is the greater common factor
What is the least common multiple of 42 and 67
To find the least common multiple (LCM) of 12 and 30, we can follow these steps:
Step 1: Find the prime factorization of each number.
- The prime factorization of 12: 2^2 * 3^1
- The prime factorization of 30: 2^1 * 3^1 * 5^1
Step 2: Identify each prime factor with the highest exponent.
The highest exponent of 2 is 2^2 (from 12), the highest exponent of 3 is 3^1 (from both numbers), and the highest exponent of 5 is 5^1 (from 30).
Step 3: Multiply all the prime factors identified in step 2.
2^2 * 3^1 * 5^1 = 4 * 3 * 5 = 60
Therefore, the least common multiple (LCM) of 12 and 30 is 60.