Least Common Multiple (LCM) of 126 and 184
The least common multiple (LCM) of 126 and 184 is 11592.
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 184?
First, calculate the GCD of 126 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 184 = 0 remainder 126 |
| 2 | 184 ÷ 126 = 1 remainder 58 |
| 3 | 126 ÷ 58 = 2 remainder 10 |
| 4 | 58 ÷ 10 = 5 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 55 | 10230 |
| 54 and 11 | 594 |
| 13 and 108 | 1404 |
| 112 and 181 | 20272 |
| 121 and 112 | 13552 |