Least Common Multiple (LCM) of 110 and 25
The least common multiple (LCM) of 110 and 25 is 550.
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 25?
First, calculate the GCD of 110 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 25 = 4 remainder 10 |
| 2 | 25 ÷ 10 = 2 remainder 5 |
| 3 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 83 | 16434 |
| 157 and 165 | 25905 |
| 40 and 181 | 7240 |
| 137 and 123 | 16851 |
| 55 and 48 | 2640 |