Least Common Multiple (LCM) of 184 and 194
The least common multiple (LCM) of 184 and 194 is 17848.
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 194?
First, calculate the GCD of 184 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 194 = 0 remainder 184 |
| 2 | 194 ÷ 184 = 1 remainder 10 |
| 3 | 184 ÷ 10 = 18 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 25 | 100 |
| 172 and 16 | 688 |
| 139 and 129 | 17931 |
| 189 and 48 | 3024 |
| 43 and 120 | 5160 |