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 |
|---|---|
| 123 and 154 | 18942 |
| 24 and 44 | 264 |
| 168 and 178 | 14952 |
| 63 and 113 | 7119 |
| 34 and 187 | 374 |