Least Common Multiple (LCM) of 128 and 194
The least common multiple (LCM) of 128 and 194 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 128 and 194?
First, calculate the GCD of 128 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 194 = 0 remainder 128 |
| 2 | 194 ÷ 128 = 1 remainder 66 |
| 3 | 128 ÷ 66 = 1 remainder 62 |
| 4 | 66 ÷ 62 = 1 remainder 4 |
| 5 | 62 ÷ 4 = 15 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 59 | 5841 |
| 67 and 129 | 8643 |
| 34 and 145 | 4930 |
| 186 and 65 | 12090 |
| 177 and 130 | 23010 |