Least Common Multiple (LCM) of 126 and 186
The least common multiple (LCM) of 126 and 186 is 3906.
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 186?
First, calculate the GCD of 126 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 186 = 0 remainder 126 |
| 2 | 186 ÷ 126 = 1 remainder 60 |
| 3 | 126 ÷ 60 = 2 remainder 6 |
| 4 | 60 ÷ 6 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 60 | 4620 |
| 199 and 199 | 199 |
| 15 and 81 | 405 |
| 86 and 115 | 9890 |
| 101 and 91 | 9191 |