Least Common Multiple (LCM) of 181 and 125
The least common multiple (LCM) of 181 and 125 is 22625.
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 181 and 125?
First, calculate the GCD of 181 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 125 = 1 remainder 56 |
| 2 | 125 ÷ 56 = 2 remainder 13 |
| 3 | 56 ÷ 13 = 4 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 74 | 11470 |
| 200 and 182 | 18200 |
| 65 and 42 | 2730 |
| 188 and 80 | 3760 |
| 153 and 99 | 1683 |