Least Common Multiple (LCM) of 112 and 94
The least common multiple (LCM) of 112 and 94 is 5264.
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 94?
First, calculate the GCD of 112 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 94 = 1 remainder 18 |
| 2 | 94 ÷ 18 = 5 remainder 4 |
| 3 | 18 ÷ 4 = 4 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 92 and 179 | 16468 |
| 31 and 23 | 713 |
| 176 and 174 | 15312 |
| 104 and 40 | 520 |
| 129 and 94 | 12126 |