Least Common Multiple (LCM) of 113 and 26
The least common multiple (LCM) of 113 and 26 is 2938.
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 26?
First, calculate the GCD of 113 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 26 = 4 remainder 9 |
| 2 | 26 ÷ 9 = 2 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 181 | 9412 |
| 36 and 71 | 2556 |
| 180 and 43 | 7740 |
| 40 and 56 | 280 |
| 179 and 157 | 28103 |