Least Common Multiple (LCM) of 125 and 94
The least common multiple (LCM) of 125 and 94 is 11750.
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 94?
First, calculate the GCD of 125 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 94 = 1 remainder 31 |
| 2 | 94 ÷ 31 = 3 remainder 1 |
| 3 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 170 | 2550 |
| 51 and 125 | 6375 |
| 164 and 114 | 9348 |
| 107 and 140 | 14980 |
| 57 and 71 | 4047 |