Least Common Multiple (LCM) of 110 and 128
The least common multiple (LCM) of 110 and 128 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 110 and 128?
First, calculate the GCD of 110 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 128 = 0 remainder 110 |
| 2 | 128 ÷ 110 = 1 remainder 18 |
| 3 | 110 ÷ 18 = 6 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 81 | 3078 |
| 199 and 42 | 8358 |
| 161 and 117 | 18837 |
| 40 and 110 | 440 |
| 119 and 47 | 5593 |