Least Common Multiple (LCM) of 128 and 140
The least common multiple (LCM) of 128 and 140 is 4480.
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 140?
First, calculate the GCD of 128 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 140 = 0 remainder 128 |
| 2 | 140 ÷ 128 = 1 remainder 12 |
| 3 | 128 ÷ 12 = 10 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 109 | 15478 |
| 144 and 97 | 13968 |
| 20 and 106 | 1060 |
| 47 and 94 | 94 |
| 170 and 64 | 5440 |