Least Common Multiple (LCM) of 115 and 43
The least common multiple (LCM) of 115 and 43 is 4945.
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 115 and 43?
First, calculate the GCD of 115 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 43 = 2 remainder 29 |
| 2 | 43 ÷ 29 = 1 remainder 14 |
| 3 | 29 ÷ 14 = 2 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 51 | 8466 |
| 129 and 62 | 7998 |
| 135 and 200 | 5400 |
| 132 and 27 | 1188 |
| 45 and 175 | 1575 |