Least Common Multiple (LCM) of 183 and 57
The least common multiple (LCM) of 183 and 57 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 183 and 57?
First, calculate the GCD of 183 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 57 = 3 remainder 12 |
| 2 | 57 ÷ 12 = 4 remainder 9 |
| 3 | 12 ÷ 9 = 1 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 75 | 10725 |
| 86 and 145 | 12470 |
| 86 and 108 | 4644 |
| 17 and 128 | 2176 |
| 30 and 112 | 1680 |