Least Common Multiple (LCM) of 41 and 95
The least common multiple (LCM) of 41 and 95 is 3895.
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 95?
First, calculate the GCD of 41 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 95 = 0 remainder 41 |
| 2 | 95 ÷ 41 = 2 remainder 13 |
| 3 | 41 ÷ 13 = 3 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 129 | 2193 |
| 130 and 96 | 6240 |
| 112 and 79 | 8848 |
| 47 and 194 | 9118 |
| 146 and 106 | 7738 |