Least Common Multiple (LCM) of 128 and 112
The least common multiple (LCM) of 128 and 112 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 128 and 112?
First, calculate the GCD of 128 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 112 = 1 remainder 16 |
| 2 | 112 ÷ 16 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 100 | 11700 |
| 17 and 164 | 2788 |
| 65 and 82 | 5330 |
| 98 and 147 | 294 |
| 170 and 170 | 170 |