Least Common Multiple (LCM) of 104 and 184
The least common multiple (LCM) of 104 and 184 is 2392.
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 104 and 184?
First, calculate the GCD of 104 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 184 = 0 remainder 104 |
| 2 | 184 ÷ 104 = 1 remainder 80 |
| 3 | 104 ÷ 80 = 1 remainder 24 |
| 4 | 80 ÷ 24 = 3 remainder 8 |
| 5 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 16 | 368 |
| 54 and 142 | 3834 |
| 162 and 167 | 27054 |
| 115 and 143 | 16445 |
| 18 and 19 | 342 |