Least Common Multiple (LCM) of 25 and 197
The least common multiple (LCM) of 25 and 197 is 4925.
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 25 and 197?
First, calculate the GCD of 25 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 197 = 0 remainder 25 |
| 2 | 197 ÷ 25 = 7 remainder 22 |
| 3 | 25 ÷ 22 = 1 remainder 3 |
| 4 | 22 ÷ 3 = 7 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 22 | 2750 |
| 194 and 107 | 20758 |
| 168 and 107 | 17976 |
| 41 and 164 | 164 |
| 75 and 42 | 1050 |