Least Common Multiple (LCM) of 125 and 181
The least common multiple (LCM) of 125 and 181 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 125 and 181?
First, calculate the GCD of 125 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 181 = 0 remainder 125 |
| 2 | 181 ÷ 125 = 1 remainder 56 |
| 3 | 125 ÷ 56 = 2 remainder 13 |
| 4 | 56 ÷ 13 = 4 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 192 | 4800 |
| 179 and 76 | 13604 |
| 11 and 174 | 1914 |
| 183 and 10 | 1830 |
| 15 and 78 | 390 |