Least Common Multiple (LCM) of 128 and 191
The least common multiple (LCM) of 128 and 191 is 24448.
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 191?
First, calculate the GCD of 128 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 191 = 0 remainder 128 |
| 2 | 191 ÷ 128 = 1 remainder 63 |
| 3 | 128 ÷ 63 = 2 remainder 2 |
| 4 | 63 ÷ 2 = 31 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 99 | 5544 |
| 117 and 83 | 9711 |
| 61 and 53 | 3233 |
| 198 and 135 | 2970 |
| 18 and 42 | 126 |