Least Common Multiple (LCM) of 41 and 155
The least common multiple (LCM) of 41 and 155 is 6355.
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 155?
First, calculate the GCD of 41 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 155 = 0 remainder 41 |
| 2 | 155 ÷ 41 = 3 remainder 32 |
| 3 | 41 ÷ 32 = 1 remainder 9 |
| 4 | 32 ÷ 9 = 3 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 95 | 3230 |
| 143 and 99 | 1287 |
| 155 and 195 | 6045 |
| 168 and 56 | 168 |
| 193 and 126 | 24318 |