Least Common Multiple (LCM) of 28 and 110
The least common multiple (LCM) of 28 and 110 is 1540.
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 28 and 110?
First, calculate the GCD of 28 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 110 = 0 remainder 28 |
| 2 | 110 ÷ 28 = 3 remainder 26 |
| 3 | 28 ÷ 26 = 1 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 135 | 1080 |
| 189 and 13 | 2457 |
| 168 and 78 | 2184 |
| 185 and 140 | 5180 |
| 133 and 121 | 16093 |