Least Common Multiple (LCM) of 41 and 197
The least common multiple (LCM) of 41 and 197 is 8077.
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 41 and 197?
First, calculate the GCD of 41 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 197 = 0 remainder 41 |
| 2 | 197 ÷ 41 = 4 remainder 33 |
| 3 | 41 ÷ 33 = 1 remainder 8 |
| 4 | 33 ÷ 8 = 4 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 86 | 1462 |
| 148 and 10 | 740 |
| 133 and 42 | 798 |
| 146 and 32 | 2336 |
| 189 and 53 | 10017 |