Least Common Multiple (LCM) of 183 and 94
The least common multiple (LCM) of 183 and 94 is 17202.
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 94?
First, calculate the GCD of 183 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 94 = 1 remainder 89 |
| 2 | 94 ÷ 89 = 1 remainder 5 |
| 3 | 89 ÷ 5 = 17 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 28 | 84 |
| 75 and 147 | 3675 |
| 196 and 149 | 29204 |
| 67 and 31 | 2077 |
| 109 and 167 | 18203 |