Least Common Multiple (LCM) of 189 and 198
The least common multiple (LCM) of 189 and 198 is 4158.
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 198?
First, calculate the GCD of 189 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 198 = 0 remainder 189 |
| 2 | 198 ÷ 189 = 1 remainder 9 |
| 3 | 189 ÷ 9 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 182 | 6734 |
| 57 and 109 | 6213 |
| 13 and 84 | 1092 |
| 165 and 150 | 1650 |
| 191 and 12 | 2292 |