Least Common Multiple (LCM) of 128 and 186
The least common multiple (LCM) of 128 and 186 is 11904.
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 128 and 186?
First, calculate the GCD of 128 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 186 = 0 remainder 128 |
| 2 | 186 ÷ 128 = 1 remainder 58 |
| 3 | 128 ÷ 58 = 2 remainder 12 |
| 4 | 58 ÷ 12 = 4 remainder 10 |
| 5 | 12 ÷ 10 = 1 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 128 | 1920 |
| 75 and 125 | 375 |
| 140 and 115 | 3220 |
| 104 and 77 | 8008 |
| 183 and 189 | 11529 |