Least Common Multiple (LCM) of 171 and 163
The least common multiple (LCM) of 171 and 163 is 27873.
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 163?
First, calculate the GCD of 171 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 163 = 1 remainder 8 |
| 2 | 163 ÷ 8 = 20 remainder 3 |
| 3 | 8 ÷ 3 = 2 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 40 | 520 |
| 141 and 114 | 5358 |
| 80 and 163 | 13040 |
| 171 and 65 | 11115 |
| 16 and 96 | 96 |