Least Common Multiple (LCM) of 110 and 88
The least common multiple (LCM) of 110 and 88 is 440.
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 88?
First, calculate the GCD of 110 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 88 = 1 remainder 22 |
| 2 | 88 ÷ 22 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 27 | 270 |
| 128 and 118 | 7552 |
| 41 and 17 | 697 |
| 188 and 118 | 11092 |
| 134 and 169 | 22646 |