Least Common Multiple (LCM) of 189 and 127
The least common multiple (LCM) of 189 and 127 is 24003.
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 127?
First, calculate the GCD of 189 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 127 = 1 remainder 62 |
| 2 | 127 ÷ 62 = 2 remainder 3 |
| 3 | 62 ÷ 3 = 20 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 119 | 16422 |
| 12 and 166 | 996 |
| 131 and 171 | 22401 |
| 183 and 195 | 11895 |
| 15 and 199 | 2985 |