Least Common Multiple (LCM) of 25 and 133
The least common multiple (LCM) of 25 and 133 is 3325.
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 133?
First, calculate the GCD of 25 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 133 = 0 remainder 25 |
| 2 | 133 ÷ 25 = 5 remainder 8 |
| 3 | 25 ÷ 8 = 3 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 28 | 812 |
| 78 and 57 | 1482 |
| 187 and 187 | 187 |
| 143 and 179 | 25597 |
| 46 and 197 | 9062 |