Least Common Multiple (LCM) of 110 and 108
The least common multiple (LCM) of 110 and 108 is 5940.
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 108?
First, calculate the GCD of 110 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 108 = 1 remainder 2 |
| 2 | 108 ÷ 2 = 54 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 16 | 1168 |
| 16 and 18 | 144 |
| 187 and 108 | 20196 |
| 198 and 170 | 16830 |
| 160 and 34 | 2720 |