Least Common Multiple (LCM) of 111 and 112
The least common multiple (LCM) of 111 and 112 is 12432.
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 112?
First, calculate the GCD of 111 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 112 = 0 remainder 111 |
| 2 | 112 ÷ 111 = 1 remainder 1 |
| 3 | 111 ÷ 1 = 111 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 165 | 4125 |
| 165 and 59 | 9735 |
| 96 and 17 | 1632 |
| 45 and 158 | 7110 |
| 191 and 59 | 11269 |