Least Common Multiple (LCM) of 57 and 85
The least common multiple (LCM) of 57 and 85 is 4845.
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 85?
First, calculate the GCD of 57 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 85 = 0 remainder 57 |
| 2 | 85 ÷ 57 = 1 remainder 28 |
| 3 | 57 ÷ 28 = 2 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 73 | 146 |
| 153 and 133 | 20349 |
| 114 and 33 | 1254 |
| 186 and 147 | 9114 |
| 55 and 49 | 2695 |