Least Common Multiple (LCM) of 125 and 89
The least common multiple (LCM) of 125 and 89 is 11125.
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 89?
First, calculate the GCD of 125 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 89 = 1 remainder 36 |
| 2 | 89 ÷ 36 = 2 remainder 17 |
| 3 | 36 ÷ 17 = 2 remainder 2 |
| 4 | 17 ÷ 2 = 8 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 71 | 12638 |
| 56 and 81 | 4536 |
| 17 and 101 | 1717 |
| 190 and 107 | 20330 |
| 170 and 62 | 5270 |