Least Common Multiple (LCM) of 130 and 190
The least common multiple (LCM) of 130 and 190 is 2470.
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 130 and 190?
First, calculate the GCD of 130 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 190 = 0 remainder 130 |
| 2 | 190 ÷ 130 = 1 remainder 60 |
| 3 | 130 ÷ 60 = 2 remainder 10 |
| 4 | 60 ÷ 10 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 75 | 300 |
| 192 and 193 | 37056 |
| 178 and 115 | 20470 |
| 122 and 109 | 13298 |
| 179 and 135 | 24165 |