Least Common Multiple (LCM) of 128 and 190
The least common multiple (LCM) of 128 and 190 is 12160.
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 190?
First, calculate the GCD of 128 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 190 = 0 remainder 128 |
| 2 | 190 ÷ 128 = 1 remainder 62 |
| 3 | 128 ÷ 62 = 2 remainder 4 |
| 4 | 62 ÷ 4 = 15 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 97 | 6305 |
| 113 and 191 | 21583 |
| 115 and 180 | 4140 |
| 31 and 190 | 5890 |
| 12 and 60 | 60 |