Least Common Multiple (LCM) of 183 and 194
The least common multiple (LCM) of 183 and 194 is 35502.
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 183 and 194?
First, calculate the GCD of 183 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 194 = 0 remainder 183 |
| 2 | 194 ÷ 183 = 1 remainder 11 |
| 3 | 183 ÷ 11 = 16 remainder 7 |
| 4 | 11 ÷ 7 = 1 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 196 | 5292 |
| 144 and 25 | 3600 |
| 178 and 19 | 3382 |
| 53 and 104 | 5512 |
| 133 and 92 | 12236 |