Least Common Multiple (LCM) of 194 and 184
The least common multiple (LCM) of 194 and 184 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 194 and 184?
First, calculate the GCD of 194 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 184 = 1 remainder 10 |
| 2 | 184 ÷ 10 = 18 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 53 | 6413 |
| 126 and 101 | 12726 |
| 199 and 190 | 37810 |
| 133 and 156 | 20748 |
| 147 and 129 | 6321 |