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 |
|---|---|
| 196 and 17 | 3332 |
| 119 and 187 | 1309 |
| 29 and 79 | 2291 |
| 38 and 159 | 6042 |
| 15 and 14 | 210 |