Least Common Multiple (LCM) of 111 and 166
The least common multiple (LCM) of 111 and 166 is 18426.
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 166?
First, calculate the GCD of 111 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 166 = 0 remainder 111 |
| 2 | 166 ÷ 111 = 1 remainder 55 |
| 3 | 111 ÷ 55 = 2 remainder 1 |
| 4 | 55 ÷ 1 = 55 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 111 | 8547 |
| 189 and 98 | 2646 |
| 179 and 16 | 2864 |
| 154 and 145 | 22330 |
| 136 and 179 | 24344 |