Least Common Multiple (LCM) of 110 and 109
The least common multiple (LCM) of 110 and 109 is 11990.
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 109?
First, calculate the GCD of 110 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 109 = 1 remainder 1 |
| 2 | 109 ÷ 1 = 109 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 16 | 1648 |
| 129 and 96 | 4128 |
| 165 and 91 | 15015 |
| 174 and 81 | 4698 |
| 160 and 180 | 1440 |