Least Common Multiple (LCM) of 184 and 129
The least common multiple (LCM) of 184 and 129 is 23736.
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 184 and 129?
First, calculate the GCD of 184 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 129 = 1 remainder 55 |
| 2 | 129 ÷ 55 = 2 remainder 19 |
| 3 | 55 ÷ 19 = 2 remainder 17 |
| 4 | 19 ÷ 17 = 1 remainder 2 |
| 5 | 17 ÷ 2 = 8 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 176 | 8272 |
| 133 and 18 | 2394 |
| 39 and 191 | 7449 |
| 107 and 62 | 6634 |
| 76 and 73 | 5548 |