Least Common Multiple (LCM) of 125 and 166
The least common multiple (LCM) of 125 and 166 is 20750.
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 125 and 166?
First, calculate the GCD of 125 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 166 = 0 remainder 125 |
| 2 | 166 ÷ 125 = 1 remainder 41 |
| 3 | 125 ÷ 41 = 3 remainder 2 |
| 4 | 41 ÷ 2 = 20 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 43 | 4687 |
| 15 and 122 | 1830 |
| 15 and 103 | 1545 |
| 179 and 155 | 27745 |
| 82 and 109 | 8938 |