Least Common Multiple (LCM) of 166 and 111
The least common multiple (LCM) of 166 and 111 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 166 and 111?
First, calculate the GCD of 166 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 111 = 1 remainder 55 |
| 2 | 111 ÷ 55 = 2 remainder 1 |
| 3 | 55 ÷ 1 = 55 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 125 | 23500 |
| 109 and 56 | 6104 |
| 150 and 127 | 19050 |
| 111 and 57 | 2109 |
| 165 and 116 | 19140 |