Least Common Multiple (LCM) of 197 and 25
The least common multiple (LCM) of 197 and 25 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 197 and 25?
First, calculate the GCD of 197 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 25 = 7 remainder 22 |
| 2 | 25 ÷ 22 = 1 remainder 3 |
| 3 | 22 ÷ 3 = 7 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 59 | 7080 |
| 124 and 57 | 7068 |
| 81 and 90 | 810 |
| 151 and 49 | 7399 |
| 60 and 17 | 1020 |