Least Common Multiple (LCM) of 171 and 187
The least common multiple (LCM) of 171 and 187 is 31977.
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 187?
First, calculate the GCD of 171 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 187 = 0 remainder 171 |
| 2 | 187 ÷ 171 = 1 remainder 16 |
| 3 | 171 ÷ 16 = 10 remainder 11 |
| 4 | 16 ÷ 11 = 1 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 43 | 8385 |
| 12 and 37 | 444 |
| 49 and 169 | 8281 |
| 20 and 77 | 1540 |
| 76 and 165 | 12540 |