Least Common Multiple (LCM) of 183 and 184
The least common multiple (LCM) of 183 and 184 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 183 and 184?
First, calculate the GCD of 183 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 184 = 0 remainder 183 |
| 2 | 184 ÷ 183 = 1 remainder 1 |
| 3 | 183 ÷ 1 = 183 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 85 | 7310 |
| 153 and 63 | 1071 |
| 137 and 36 | 4932 |
| 181 and 30 | 5430 |
| 100 and 61 | 6100 |