Least Common Multiple (LCM) of 195 and 128
The least common multiple (LCM) of 195 and 128 is 24960.
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 195 and 128?
First, calculate the GCD of 195 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 128 = 1 remainder 67 |
| 2 | 128 ÷ 67 = 1 remainder 61 |
| 3 | 67 ÷ 61 = 1 remainder 6 |
| 4 | 61 ÷ 6 = 10 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 34 | 2788 |
| 130 and 144 | 9360 |
| 118 and 11 | 1298 |
| 32 and 35 | 1120 |
| 82 and 148 | 6068 |