Least Common Multiple (LCM) of 25 and 171
The least common multiple (LCM) of 25 and 171 is 4275.
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 25 and 171?
First, calculate the GCD of 25 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 171 = 0 remainder 25 |
| 2 | 171 ÷ 25 = 6 remainder 21 |
| 3 | 25 ÷ 21 = 1 remainder 4 |
| 4 | 21 ÷ 4 = 5 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 16 | 64 |
| 193 and 83 | 16019 |
| 113 and 168 | 18984 |
| 174 and 18 | 522 |
| 106 and 170 | 9010 |