Least Common Multiple (LCM) of 112 and 111
The least common multiple (LCM) of 112 and 111 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 112 and 111?
First, calculate the GCD of 112 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 111 = 1 remainder 1 |
| 2 | 111 ÷ 1 = 111 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 85 | 9690 |
| 112 and 17 | 1904 |
| 20 and 181 | 3620 |
| 96 and 120 | 480 |
| 31 and 61 | 1891 |