Least Common Multiple (LCM) of 185 and 57
The least common multiple (LCM) of 185 and 57 is 10545.
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 185 and 57?
First, calculate the GCD of 185 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 57 = 3 remainder 14 |
| 2 | 57 ÷ 14 = 4 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 99 | 12573 |
| 40 and 154 | 3080 |
| 10 and 80 | 80 |
| 90 and 45 | 90 |
| 89 and 178 | 178 |