Least Common Multiple (LCM) of 187 and 128
The least common multiple (LCM) of 187 and 128 is 23936.
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 187 and 128?
First, calculate the GCD of 187 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 128 = 1 remainder 59 |
| 2 | 128 ÷ 59 = 2 remainder 10 |
| 3 | 59 ÷ 10 = 5 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 144 | 23184 |
| 25 and 191 | 4775 |
| 132 and 50 | 3300 |
| 182 and 89 | 16198 |
| 43 and 174 | 7482 |