Least Common Multiple (LCM) of 131 and 19
The least common multiple (LCM) of 131 and 19 is 2489.
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 131 and 19?
First, calculate the GCD of 131 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 19 = 6 remainder 17 |
| 2 | 19 ÷ 17 = 1 remainder 2 |
| 3 | 17 ÷ 2 = 8 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 33 | 1056 |
| 193 and 196 | 37828 |
| 148 and 26 | 1924 |
| 84 and 58 | 2436 |
| 193 and 97 | 18721 |