Least Common Multiple (LCM) of 47 and 184
The least common multiple (LCM) of 47 and 184 is 8648.
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 47 and 184?
First, calculate the GCD of 47 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 184 = 0 remainder 47 |
| 2 | 184 ÷ 47 = 3 remainder 43 |
| 3 | 47 ÷ 43 = 1 remainder 4 |
| 4 | 43 ÷ 4 = 10 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 54 | 2646 |
| 31 and 91 | 2821 |
| 44 and 77 | 308 |
| 84 and 25 | 2100 |
| 14 and 122 | 854 |