Least Common Multiple (LCM) of 130 and 115
The least common multiple (LCM) of 130 and 115 is 2990.
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 115?
First, calculate the GCD of 130 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 115 = 1 remainder 15 |
| 2 | 115 ÷ 15 = 7 remainder 10 |
| 3 | 15 ÷ 10 = 1 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 68 | 3060 |
| 113 and 10 | 1130 |
| 71 and 68 | 4828 |
| 105 and 190 | 3990 |
| 177 and 182 | 32214 |