Least Common Multiple (LCM) of 111 and 183
The least common multiple (LCM) of 111 and 183 is 6771.
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 183?
First, calculate the GCD of 111 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 183 = 0 remainder 111 |
| 2 | 183 ÷ 111 = 1 remainder 72 |
| 3 | 111 ÷ 72 = 1 remainder 39 |
| 4 | 72 ÷ 39 = 1 remainder 33 |
| 5 | 39 ÷ 33 = 1 remainder 6 |
| 6 | 33 ÷ 6 = 5 remainder 3 |
| 7 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 142 | 5822 |
| 65 and 189 | 12285 |
| 88 and 86 | 3784 |
| 108 and 46 | 2484 |
| 106 and 106 | 106 |