Least Common Multiple (LCM) of 171 and 195
The least common multiple (LCM) of 171 and 195 is 11115.
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 195?
First, calculate the GCD of 171 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 195 = 0 remainder 171 |
| 2 | 195 ÷ 171 = 1 remainder 24 |
| 3 | 171 ÷ 24 = 7 remainder 3 |
| 4 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 66 | 3828 |
| 66 and 116 | 3828 |
| 42 and 107 | 4494 |
| 82 and 176 | 7216 |
| 37 and 38 | 1406 |