Least Common Multiple (LCM) of 41 and 80
The least common multiple (LCM) of 41 and 80 is 3280.
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 80?
First, calculate the GCD of 41 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 80 = 0 remainder 41 |
| 2 | 80 ÷ 41 = 1 remainder 39 |
| 3 | 41 ÷ 39 = 1 remainder 2 |
| 4 | 39 ÷ 2 = 19 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 99 | 198 |
| 89 and 124 | 11036 |
| 30 and 46 | 690 |
| 19 and 95 | 95 |
| 109 and 16 | 1744 |