Least Common Multiple (LCM) of 41 and 136
The least common multiple (LCM) of 41 and 136 is 5576.
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 136?
First, calculate the GCD of 41 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 136 = 0 remainder 41 |
| 2 | 136 ÷ 41 = 3 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 |
|---|---|
| 109 and 32 | 3488 |
| 108 and 11 | 1188 |
| 50 and 124 | 3100 |
| 177 and 103 | 18231 |
| 27 and 171 | 513 |