Least Common Multiple (LCM) of 57 and 183
The least common multiple (LCM) of 57 and 183 is 3477.
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 183?
First, calculate the GCD of 57 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 183 = 0 remainder 57 |
| 2 | 183 ÷ 57 = 3 remainder 12 |
| 3 | 57 ÷ 12 = 4 remainder 9 |
| 4 | 12 ÷ 9 = 1 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 193 | 25476 |
| 138 and 149 | 20562 |
| 55 and 138 | 7590 |
| 187 and 76 | 14212 |
| 10 and 191 | 1910 |