Least Common Multiple (LCM) of 110 and 112
The least common multiple (LCM) of 110 and 112 is 6160.
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 112?
First, calculate the GCD of 110 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 112 = 0 remainder 110 |
| 2 | 112 ÷ 110 = 1 remainder 2 |
| 3 | 110 ÷ 2 = 55 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 119 | 23562 |
| 31 and 164 | 5084 |
| 194 and 65 | 12610 |
| 60 and 189 | 3780 |
| 124 and 178 | 11036 |