Least Common Multiple (LCM) of 128 and 127
The least common multiple (LCM) of 128 and 127 is 16256.
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 127?
First, calculate the GCD of 128 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 127 = 1 remainder 1 |
| 2 | 127 ÷ 1 = 127 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 43 | 1290 |
| 90 and 50 | 450 |
| 127 and 15 | 1905 |
| 87 and 186 | 5394 |
| 181 and 196 | 35476 |