Least Common Multiple (LCM) of 189 and 89
The least common multiple (LCM) of 189 and 89 is 16821.
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 89?
First, calculate the GCD of 189 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 89 = 2 remainder 11 |
| 2 | 89 ÷ 11 = 8 remainder 1 |
| 3 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 151 | 27180 |
| 14 and 172 | 1204 |
| 50 and 200 | 200 |
| 122 and 153 | 18666 |
| 58 and 22 | 638 |