Least Common Multiple (LCM) of 125 and 191
The least common multiple (LCM) of 125 and 191 is 23875.
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 191?
First, calculate the GCD of 125 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 191 = 0 remainder 125 |
| 2 | 191 ÷ 125 = 1 remainder 66 |
| 3 | 125 ÷ 66 = 1 remainder 59 |
| 4 | 66 ÷ 59 = 1 remainder 7 |
| 5 | 59 ÷ 7 = 8 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 99 | 16533 |
| 18 and 112 | 1008 |
| 85 and 180 | 3060 |
| 23 and 108 | 2484 |
| 51 and 90 | 1530 |