Least Common Multiple (LCM) of 111 and 133
The least common multiple (LCM) of 111 and 133 is 14763.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 111 and 133?
First, calculate the GCD of 111 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 133 = 0 remainder 111 |
| 2 | 133 ÷ 111 = 1 remainder 22 |
| 3 | 111 ÷ 22 = 5 remainder 1 |
| 4 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 49 | 7056 |
| 137 and 58 | 7946 |
| 135 and 101 | 13635 |
| 174 and 129 | 7482 |
| 26 and 14 | 182 |