Least Common Multiple (LCM) of 113 and 25
The least common multiple (LCM) of 113 and 25 is 2825.
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 113 and 25?
First, calculate the GCD of 113 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 25 = 4 remainder 13 |
| 2 | 25 ÷ 13 = 1 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 180 | 33660 |
| 167 and 183 | 30561 |
| 186 and 153 | 9486 |
| 142 and 96 | 6816 |
| 193 and 90 | 17370 |