Least Common Multiple (LCM) of 128 and 110
The least common multiple (LCM) of 128 and 110 is 7040.
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 110?
First, calculate the GCD of 128 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 110 = 1 remainder 18 |
| 2 | 110 ÷ 18 = 6 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 105 | 315 |
| 20 and 17 | 340 |
| 150 and 43 | 6450 |
| 171 and 169 | 28899 |
| 160 and 72 | 1440 |