Least Common Multiple (LCM) of 125 and 131
The least common multiple (LCM) of 125 and 131 is 16375.
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 131?
First, calculate the GCD of 125 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 131 = 0 remainder 125 |
| 2 | 131 ÷ 125 = 1 remainder 6 |
| 3 | 125 ÷ 6 = 20 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 113 | 22487 |
| 121 and 132 | 1452 |
| 18 and 29 | 522 |
| 172 and 41 | 7052 |
| 31 and 163 | 5053 |