Least Common Multiple (LCM) of 171 and 127
The least common multiple (LCM) of 171 and 127 is 21717.
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 127?
First, calculate the GCD of 171 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 127 = 1 remainder 44 |
| 2 | 127 ÷ 44 = 2 remainder 39 |
| 3 | 44 ÷ 39 = 1 remainder 5 |
| 4 | 39 ÷ 5 = 7 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 90 | 3330 |
| 168 and 146 | 12264 |
| 100 and 56 | 1400 |
| 63 and 127 | 8001 |
| 163 and 185 | 30155 |