Least Common Multiple (LCM) of 194 and 128
The least common multiple (LCM) of 194 and 128 is 12416.
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 194 and 128?
First, calculate the GCD of 194 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 128 = 1 remainder 66 |
| 2 | 128 ÷ 66 = 1 remainder 62 |
| 3 | 66 ÷ 62 = 1 remainder 4 |
| 4 | 62 ÷ 4 = 15 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 177 | 6549 |
| 68 and 85 | 340 |
| 66 and 131 | 8646 |
| 175 and 145 | 5075 |
| 64 and 131 | 8384 |