Least Common Multiple (LCM) of 112 and 128
The least common multiple (LCM) of 112 and 128 is 896.
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 128?
First, calculate the GCD of 112 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 128 = 0 remainder 112 |
| 2 | 128 ÷ 112 = 1 remainder 16 |
| 3 | 112 ÷ 16 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 133 | 1197 |
| 116 and 93 | 10788 |
| 117 and 72 | 936 |
| 150 and 101 | 15150 |
| 28 and 68 | 476 |