Least Common Multiple (LCM) of 114 and 113
The least common multiple (LCM) of 114 and 113 is 12882.
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 114 and 113?
First, calculate the GCD of 114 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 113 = 1 remainder 1 |
| 2 | 113 ÷ 1 = 113 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 68 | 1972 |
| 92 and 46 | 92 |
| 91 and 145 | 13195 |
| 134 and 17 | 2278 |
| 108 and 67 | 7236 |