Least Common Multiple (LCM) of 127 and 128
The least common multiple (LCM) of 127 and 128 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 127 and 128?
First, calculate the GCD of 127 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 128 = 0 remainder 127 |
| 2 | 128 ÷ 127 = 1 remainder 1 |
| 3 | 127 ÷ 1 = 127 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 78 | 1950 |
| 14 and 110 | 770 |
| 160 and 85 | 2720 |
| 80 and 65 | 1040 |
| 81 and 63 | 567 |