Least Common Multiple (LCM) of 184 and 183
The least common multiple (LCM) of 184 and 183 is 33672.
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 183?
First, calculate the GCD of 184 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 183 = 1 remainder 1 |
| 2 | 183 ÷ 1 = 183 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 177 | 20001 |
| 158 and 86 | 6794 |
| 55 and 45 | 495 |
| 10 and 12 | 60 |
| 15 and 10 | 30 |