Least Common Multiple (LCM) of 128 and 94
The least common multiple (LCM) of 128 and 94 is 6016.
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 94?
First, calculate the GCD of 128 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 94 = 1 remainder 34 |
| 2 | 94 ÷ 34 = 2 remainder 26 |
| 3 | 34 ÷ 26 = 1 remainder 8 |
| 4 | 26 ÷ 8 = 3 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 11 | 1595 |
| 20 and 75 | 300 |
| 18 and 132 | 396 |
| 189 and 133 | 3591 |
| 133 and 181 | 24073 |