Least Common Multiple (LCM) of 128 and 80
The least common multiple (LCM) of 128 and 80 is 640.
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 80?
First, calculate the GCD of 128 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 80 = 1 remainder 48 |
| 2 | 80 ÷ 48 = 1 remainder 32 |
| 3 | 48 ÷ 32 = 1 remainder 16 |
| 4 | 32 ÷ 16 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 68 | 3604 |
| 197 and 154 | 30338 |
| 59 and 145 | 8555 |
| 177 and 171 | 10089 |
| 128 and 126 | 8064 |