Least Common Multiple (LCM) of 182 and 194
The least common multiple (LCM) of 182 and 194 is 17654.
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 182 and 194?
First, calculate the GCD of 182 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 194 = 0 remainder 182 |
| 2 | 194 ÷ 182 = 1 remainder 12 |
| 3 | 182 ÷ 12 = 15 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 58 | 8642 |
| 182 and 199 | 36218 |
| 173 and 14 | 2422 |
| 174 and 47 | 8178 |
| 195 and 111 | 7215 |