Answer:
LCM of the numbers is 144
Explanation:
To find the least common multiple (LCM) of two numbers, you can use their prime factors. Here are the prime factors of the given numbers:
Number 1: 1, 2, 3, 6, 9, 18
Number 2: 1, 2, 3, 4, 6, 12
Now, list the prime factors of each number:
Number 1:
- 2^1 (2 to the power of 1)
- 3^2 (3 to the power of 2)
- 1 (No contribution)
Number 2:
- 2^2 (2 to the power of 2)
- 3^1 (3 to the power of 1)
- 4^1 (4 to the power of 1)
To find the LCM, you take the highest power of each prime factor:
LCM = 2^2 * 3^2 * 4^1
Now, calculate the values:
LCM = 4 * 9 * 4
LCM = 144
So, the least common multiple (LCM) of the two numbers is 144.