Least Common Multiple (LCM) of 186 and 128
The least common multiple (LCM) of 186 and 128 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 186 and 128?
First, calculate the GCD of 186 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 128 = 1 remainder 58 |
| 2 | 128 ÷ 58 = 2 remainder 12 |
| 3 | 58 ÷ 12 = 4 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 24 | 600 |
| 71 and 184 | 13064 |
| 190 and 83 | 15770 |
| 20 and 62 | 620 |
| 134 and 173 | 23182 |