Least Common Multiple (LCM) of 50 and 183
The least common multiple (LCM) of 50 and 183 is 9150.
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 50 and 183?
First, calculate the GCD of 50 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 183 = 0 remainder 50 |
| 2 | 183 ÷ 50 = 3 remainder 33 |
| 3 | 50 ÷ 33 = 1 remainder 17 |
| 4 | 33 ÷ 17 = 1 remainder 16 |
| 5 | 17 ÷ 16 = 1 remainder 1 |
| 6 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 136 | 6120 |
| 108 and 56 | 1512 |
| 66 and 49 | 3234 |
| 27 and 199 | 5373 |
| 105 and 61 | 6405 |