Least Common Multiple (LCM) of 71 and 181
The least common multiple (LCM) of 71 and 181 is 12851.
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 71 and 181?
First, calculate the GCD of 71 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 181 = 0 remainder 71 |
| 2 | 181 ÷ 71 = 2 remainder 39 |
| 3 | 71 ÷ 39 = 1 remainder 32 |
| 4 | 39 ÷ 32 = 1 remainder 7 |
| 5 | 32 ÷ 7 = 4 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 106 | 17914 |
| 177 and 172 | 30444 |
| 64 and 85 | 5440 |
| 189 and 86 | 16254 |
| 170 and 175 | 5950 |