Least Common Multiple (LCM) of 184 and 102
The least common multiple (LCM) of 184 and 102 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 184 and 102?
First, calculate the GCD of 184 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 102 = 1 remainder 82 |
| 2 | 102 ÷ 82 = 1 remainder 20 |
| 3 | 82 ÷ 20 = 4 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 195 | 22035 |
| 41 and 127 | 5207 |
| 100 and 57 | 5700 |
| 131 and 181 | 23711 |
| 98 and 32 | 1568 |