Least Common Multiple (LCM) of 513 and 190
The least common multiple (LCM) of 513 and 190 is 5130.
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 513 and 190?
First, calculate the GCD of 513 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 513 ÷ 190 = 2 remainder 133 |
| 2 | 190 ÷ 133 = 1 remainder 57 |
| 3 | 133 ÷ 57 = 2 remainder 19 |
| 4 | 57 ÷ 19 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 106 | 18338 |
| 173 and 63 | 10899 |
| 30 and 18 | 90 |
| 183 and 126 | 7686 |
| 31 and 92 | 2852 |