Least Common Multiple (LCM) of 188 and 131
The least common multiple (LCM) of 188 and 131 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 188 and 131?
First, calculate the GCD of 188 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 131 = 1 remainder 57 |
| 2 | 131 ÷ 57 = 2 remainder 17 |
| 3 | 57 ÷ 17 = 3 remainder 6 |
| 4 | 17 ÷ 6 = 2 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 139 | 1807 |
| 48 and 188 | 2256 |
| 55 and 150 | 1650 |
| 165 and 67 | 11055 |
| 41 and 49 | 2009 |