Least Common Multiple (LCM) of 131 and 190
The least common multiple (LCM) of 131 and 190 is 24890.
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 190?
First, calculate the GCD of 131 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 190 = 0 remainder 131 |
| 2 | 190 ÷ 131 = 1 remainder 59 |
| 3 | 131 ÷ 59 = 2 remainder 13 |
| 4 | 59 ÷ 13 = 4 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 99 | 5841 |
| 159 and 193 | 30687 |
| 103 and 58 | 5974 |
| 40 and 194 | 3880 |
| 72 and 36 | 72 |