Least Common Multiple (LCM) of 171 and 95
The least common multiple (LCM) of 171 and 95 is 855.
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 95?
First, calculate the GCD of 171 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 95 = 1 remainder 76 |
| 2 | 95 ÷ 76 = 1 remainder 19 |
| 3 | 76 ÷ 19 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 57 | 2736 |
| 127 and 41 | 5207 |
| 192 and 122 | 11712 |
| 113 and 177 | 20001 |
| 90 and 197 | 17730 |