Least Common Multiple (LCM) of 41 and 161
The least common multiple (LCM) of 41 and 161 is 6601.
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 161?
First, calculate the GCD of 41 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 161 = 0 remainder 41 |
| 2 | 161 ÷ 41 = 3 remainder 38 |
| 3 | 41 ÷ 38 = 1 remainder 3 |
| 4 | 38 ÷ 3 = 12 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 127 | 13081 |
| 199 and 57 | 11343 |
| 77 and 75 | 5775 |
| 84 and 131 | 11004 |
| 125 and 89 | 11125 |