Least Common Multiple (LCM) of 125 and 190
The least common multiple (LCM) of 125 and 190 is 4750.
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 190?
First, calculate the GCD of 125 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 190 = 0 remainder 125 |
| 2 | 190 ÷ 125 = 1 remainder 65 |
| 3 | 125 ÷ 65 = 1 remainder 60 |
| 4 | 65 ÷ 60 = 1 remainder 5 |
| 5 | 60 ÷ 5 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 197 | 35460 |
| 21 and 12 | 84 |
| 90 and 118 | 5310 |
| 10 and 61 | 610 |
| 199 and 124 | 24676 |