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 |
|---|---|
| 108 and 79 | 8532 |
| 176 and 76 | 3344 |
| 145 and 121 | 17545 |
| 187 and 154 | 2618 |
| 184 and 199 | 36616 |