Least Common Multiple (LCM) of 184 and 45
The least common multiple (LCM) of 184 and 45 is 8280.
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 45?
First, calculate the GCD of 184 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 45 = 4 remainder 4 |
| 2 | 45 ÷ 4 = 11 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 23 | 2714 |
| 78 and 39 | 78 |
| 80 and 189 | 15120 |
| 107 and 31 | 3317 |
| 158 and 92 | 7268 |