Least Common Multiple (LCM) of 41 and 159
The least common multiple (LCM) of 41 and 159 is 6519.
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 159?
First, calculate the GCD of 41 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 159 = 0 remainder 41 |
| 2 | 159 ÷ 41 = 3 remainder 36 |
| 3 | 41 ÷ 36 = 1 remainder 5 |
| 4 | 36 ÷ 5 = 7 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 156 | 9204 |
| 193 and 94 | 18142 |
| 90 and 136 | 6120 |
| 199 and 170 | 33830 |
| 104 and 41 | 4264 |