Least Common Multiple (LCM) of 171 and 186
The least common multiple (LCM) of 171 and 186 is 10602.
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 186?
First, calculate the GCD of 171 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 186 = 0 remainder 171 |
| 2 | 186 ÷ 171 = 1 remainder 15 |
| 3 | 171 ÷ 15 = 11 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 68 | 476 |
| 116 and 152 | 4408 |
| 123 and 86 | 10578 |
| 57 and 113 | 6441 |
| 198 and 192 | 6336 |