Least Common Multiple (LCM) of 171 and 131
The least common multiple (LCM) of 171 and 131 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 171 and 131?
First, calculate the GCD of 171 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 131 = 1 remainder 40 |
| 2 | 131 ÷ 40 = 3 remainder 11 |
| 3 | 40 ÷ 11 = 3 remainder 7 |
| 4 | 11 ÷ 7 = 1 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 77 | 1155 |
| 164 and 13 | 2132 |
| 155 and 68 | 10540 |
| 53 and 121 | 6413 |
| 133 and 38 | 266 |