Least Common Multiple (LCM) of 190 and 131
The least common multiple (LCM) of 190 and 131 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 190 and 131?
First, calculate the GCD of 190 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 131 = 1 remainder 59 |
| 2 | 131 ÷ 59 = 2 remainder 13 |
| 3 | 59 ÷ 13 = 4 remainder 7 |
| 4 | 13 ÷ 7 = 1 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 21 | 714 |
| 28 and 51 | 1428 |
| 129 and 176 | 22704 |
| 43 and 187 | 8041 |
| 49 and 168 | 1176 |