Least Common Multiple (LCM) of 89 and 189
The least common multiple (LCM) of 89 and 189 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 89 and 189?
First, calculate the GCD of 89 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 189 = 0 remainder 89 |
| 2 | 189 ÷ 89 = 2 remainder 11 |
| 3 | 89 ÷ 11 = 8 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 27 | 297 |
| 178 and 183 | 32574 |
| 197 and 43 | 8471 |
| 163 and 55 | 8965 |
| 99 and 179 | 17721 |