Least Common Multiple (LCM) of 115 and 112
The least common multiple (LCM) of 115 and 112 is 12880.
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 115 and 112?
First, calculate the GCD of 115 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 112 = 1 remainder 3 |
| 2 | 112 ÷ 3 = 37 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 73 | 13140 |
| 23 and 58 | 1334 |
| 160 and 115 | 3680 |
| 74 and 140 | 5180 |
| 107 and 11 | 1177 |