Least Common Multiple (LCM) of 130 and 19
The least common multiple (LCM) of 130 and 19 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 19?
First, calculate the GCD of 130 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 19 = 6 remainder 16 |
| 2 | 19 ÷ 16 = 1 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 127 | 3175 |
| 100 and 14 | 700 |
| 101 and 26 | 2626 |
| 53 and 185 | 9805 |
| 103 and 181 | 18643 |