Least Common Multiple (LCM) of 128 and 160
The least common multiple (LCM) of 128 and 160 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 160?
First, calculate the GCD of 128 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 160 = 0 remainder 128 |
| 2 | 160 ÷ 128 = 1 remainder 32 |
| 3 | 128 ÷ 32 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 81 | 567 |
| 100 and 27 | 2700 |
| 50 and 86 | 2150 |
| 58 and 44 | 1276 |
| 129 and 19 | 2451 |