Least Common Multiple (LCM) of 125 and 57
The least common multiple (LCM) of 125 and 57 is 7125.
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 57?
First, calculate the GCD of 125 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 57 = 2 remainder 11 |
| 2 | 57 ÷ 11 = 5 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 14 | 994 |
| 56 and 44 | 616 |
| 147 and 158 | 23226 |
| 31 and 121 | 3751 |
| 138 and 165 | 7590 |