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 |
|---|---|
| 104 and 74 | 3848 |
| 75 and 163 | 12225 |
| 163 and 21 | 3423 |
| 79 and 117 | 9243 |
| 109 and 46 | 5014 |