Least Common Multiple (LCM) of 110 and 116
The least common multiple (LCM) of 110 and 116 is 6380.
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 116?
First, calculate the GCD of 110 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 116 = 0 remainder 110 |
| 2 | 116 ÷ 110 = 1 remainder 6 |
| 3 | 110 ÷ 6 = 18 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 190 | 32110 |
| 17 and 97 | 1649 |
| 197 and 164 | 32308 |
| 74 and 46 | 1702 |
| 36 and 188 | 1692 |