Least Common Multiple (LCM) of 85 and 57
The least common multiple (LCM) of 85 and 57 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 85 and 57?
First, calculate the GCD of 85 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 57 = 1 remainder 28 |
| 2 | 57 ÷ 28 = 2 remainder 1 |
| 3 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 28 | 1148 |
| 123 and 200 | 24600 |
| 200 and 33 | 6600 |
| 200 and 113 | 22600 |
| 85 and 114 | 9690 |