Least Common Multiple (LCM) of 197 and 125
The least common multiple (LCM) of 197 and 125 is 24625.
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 125?
First, calculate the GCD of 197 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 125 = 1 remainder 72 |
| 2 | 125 ÷ 72 = 1 remainder 53 |
| 3 | 72 ÷ 53 = 1 remainder 19 |
| 4 | 53 ÷ 19 = 2 remainder 15 |
| 5 | 19 ÷ 15 = 1 remainder 4 |
| 6 | 15 ÷ 4 = 3 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 14 | 2142 |
| 168 and 128 | 2688 |
| 141 and 34 | 4794 |
| 135 and 181 | 24435 |
| 181 and 58 | 10498 |