Least Common Multiple (LCM) of 166 and 131
The least common multiple (LCM) of 166 and 131 is 21746.
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 131?
First, calculate the GCD of 166 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 131 = 1 remainder 35 |
| 2 | 131 ÷ 35 = 3 remainder 26 |
| 3 | 35 ÷ 26 = 1 remainder 9 |
| 4 | 26 ÷ 9 = 2 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 68 | 1700 |
| 131 and 46 | 6026 |
| 18 and 137 | 2466 |
| 55 and 156 | 8580 |
| 55 and 116 | 6380 |