Least Common Multiple (LCM) of 578 and 43
The least common multiple (LCM) of 578 and 43 is 24854.
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 578 and 43?
First, calculate the GCD of 578 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 578 ÷ 43 = 13 remainder 19 |
| 2 | 43 ÷ 19 = 2 remainder 5 |
| 3 | 19 ÷ 5 = 3 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 107 | 2675 |
| 195 and 23 | 4485 |
| 26 and 71 | 1846 |
| 80 and 116 | 2320 |
| 79 and 129 | 10191 |