Least Common Multiple (LCM) of 102 and 184
The least common multiple (LCM) of 102 and 184 is 9384.
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 102 and 184?
First, calculate the GCD of 102 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 184 = 0 remainder 102 |
| 2 | 184 ÷ 102 = 1 remainder 82 |
| 3 | 102 ÷ 82 = 1 remainder 20 |
| 4 | 82 ÷ 20 = 4 remainder 2 |
| 5 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 51 | 5763 |
| 91 and 68 | 6188 |
| 87 and 30 | 870 |
| 25 and 183 | 4575 |
| 199 and 11 | 2189 |