Least Common Multiple (LCM) of 41 and 115
The least common multiple (LCM) of 41 and 115 is 4715.
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 115?
First, calculate the GCD of 41 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 115 = 0 remainder 41 |
| 2 | 115 ÷ 41 = 2 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 |
|---|---|
| 59 and 12 | 708 |
| 103 and 180 | 18540 |
| 134 and 82 | 5494 |
| 190 and 152 | 760 |
| 178 and 200 | 17800 |