Least Common Multiple (LCM) of 185 and 184
The least common multiple (LCM) of 185 and 184 is 34040.
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 185 and 184?
First, calculate the GCD of 185 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 184 = 1 remainder 1 |
| 2 | 184 ÷ 1 = 184 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 177 | 21063 |
| 49 and 199 | 9751 |
| 60 and 27 | 540 |
| 115 and 129 | 14835 |
| 19 and 156 | 2964 |