Least Common Multiple (LCM) of 126 and 188
The least common multiple (LCM) of 126 and 188 is 11844.
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 126 and 188?
First, calculate the GCD of 126 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 188 = 0 remainder 126 |
| 2 | 188 ÷ 126 = 1 remainder 62 |
| 3 | 126 ÷ 62 = 2 remainder 2 |
| 4 | 62 ÷ 2 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 45 | 495 |
| 170 and 49 | 8330 |
| 69 and 76 | 5244 |
| 198 and 28 | 2772 |
| 155 and 99 | 15345 |