Least Common Multiple (LCM) of 25 and 17
The least common multiple (LCM) of 25 and 17 is 425.
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 17?
First, calculate the GCD of 25 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 17 = 1 remainder 8 |
| 2 | 17 ÷ 8 = 2 remainder 1 |
| 3 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 185 | 5550 |
| 103 and 131 | 13493 |
| 178 and 83 | 14774 |
| 135 and 143 | 19305 |
| 196 and 169 | 33124 |