Least Common Multiple (LCM) of 50 and 41
The least common multiple (LCM) of 50 and 41 is 2050.
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 50 and 41?
First, calculate the GCD of 50 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 41 = 1 remainder 9 |
| 2 | 41 ÷ 9 = 4 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 184 | 19688 |
| 150 and 131 | 19650 |
| 20 and 116 | 580 |
| 102 and 79 | 8058 |
| 66 and 105 | 2310 |