Least Common Multiple (LCM) of 197 and 140
The least common multiple (LCM) of 197 and 140 is 27580.
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 140?
First, calculate the GCD of 197 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 140 = 1 remainder 57 |
| 2 | 140 ÷ 57 = 2 remainder 26 |
| 3 | 57 ÷ 26 = 2 remainder 5 |
| 4 | 26 ÷ 5 = 5 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 146 | 5694 |
| 113 and 200 | 22600 |
| 105 and 200 | 4200 |
| 198 and 141 | 9306 |
| 102 and 82 | 4182 |