Least Common Multiple (LCM) of 130 and 131
The least common multiple (LCM) of 130 and 131 is 17030.
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 131?
First, calculate the GCD of 130 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 131 = 0 remainder 130 |
| 2 | 131 ÷ 130 = 1 remainder 1 |
| 3 | 130 ÷ 1 = 130 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 78 | 7410 |
| 61 and 49 | 2989 |
| 175 and 100 | 700 |
| 113 and 16 | 1808 |
| 173 and 19 | 3287 |