Least Common Multiple (LCM) of 189 and 94
The least common multiple (LCM) of 189 and 94 is 17766.
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 189 and 94?
First, calculate the GCD of 189 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 94 = 2 remainder 1 |
| 2 | 94 ÷ 1 = 94 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 40 | 2280 |
| 48 and 180 | 720 |
| 191 and 11 | 2101 |
| 193 and 108 | 20844 |
| 196 and 190 | 18620 |