Least Common Multiple (LCM) of 57 and 86
The least common multiple (LCM) of 57 and 86 is 4902.
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 57 and 86?
First, calculate the GCD of 57 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 86 = 0 remainder 57 |
| 2 | 86 ÷ 57 = 1 remainder 29 |
| 3 | 57 ÷ 29 = 1 remainder 28 |
| 4 | 29 ÷ 28 = 1 remainder 1 |
| 5 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 174 | 6438 |
| 197 and 155 | 30535 |
| 142 and 55 | 7810 |
| 52 and 151 | 7852 |
| 41 and 115 | 4715 |