Least Common Multiple (LCM) of 111 and 110
The least common multiple (LCM) of 111 and 110 is 12210.
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 111 and 110?
First, calculate the GCD of 111 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 110 = 1 remainder 1 |
| 2 | 110 ÷ 1 = 110 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 82 | 3854 |
| 134 and 87 | 11658 |
| 111 and 174 | 6438 |
| 37 and 43 | 1591 |
| 68 and 82 | 2788 |