Least Common Multiple (LCM) of 41 and 116
The least common multiple (LCM) of 41 and 116 is 4756.
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 116?
First, calculate the GCD of 41 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 116 = 0 remainder 41 |
| 2 | 116 ÷ 41 = 2 remainder 34 |
| 3 | 41 ÷ 34 = 1 remainder 7 |
| 4 | 34 ÷ 7 = 4 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 14 | 504 |
| 26 and 63 | 1638 |
| 45 and 10 | 90 |
| 166 and 185 | 30710 |
| 55 and 171 | 9405 |