Least Common Multiple (LCM) of 184 and 185
The least common multiple (LCM) of 184 and 185 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 184 and 185?
First, calculate the GCD of 184 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 185 = 0 remainder 184 |
| 2 | 185 ÷ 184 = 1 remainder 1 |
| 3 | 184 ÷ 1 = 184 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 52 | 52 |
| 108 and 71 | 7668 |
| 21 and 50 | 1050 |
| 80 and 139 | 11120 |
| 39 and 161 | 6279 |