Least Common Multiple (LCM) of 131 and 188
The least common multiple (LCM) of 131 and 188 is 24628.
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 188?
First, calculate the GCD of 131 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 188 = 0 remainder 131 |
| 2 | 188 ÷ 131 = 1 remainder 57 |
| 3 | 131 ÷ 57 = 2 remainder 17 |
| 4 | 57 ÷ 17 = 3 remainder 6 |
| 5 | 17 ÷ 6 = 2 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 115 | 8855 |
| 177 and 38 | 6726 |
| 110 and 155 | 3410 |
| 13 and 180 | 2340 |
| 12 and 34 | 204 |