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 |
|---|---|
| 80 and 93 | 7440 |
| 75 and 167 | 12525 |
| 62 and 87 | 5394 |
| 106 and 33 | 3498 |
| 95 and 186 | 17670 |