Least Common Multiple (LCM) of 131 and 171
The least common multiple (LCM) of 131 and 171 is 22401.
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 131 and 171?
First, calculate the GCD of 131 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 171 = 0 remainder 131 |
| 2 | 171 ÷ 131 = 1 remainder 40 |
| 3 | 131 ÷ 40 = 3 remainder 11 |
| 4 | 40 ÷ 11 = 3 remainder 7 |
| 5 | 11 ÷ 7 = 1 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 |
|---|---|
| 47 and 47 | 47 |
| 131 and 177 | 23187 |
| 144 and 162 | 1296 |
| 47 and 141 | 141 |
| 156 and 68 | 2652 |