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 |
|---|---|
| 52 and 88 | 1144 |
| 176 and 109 | 19184 |
| 149 and 117 | 17433 |
| 21 and 158 | 3318 |
| 75 and 102 | 2550 |