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 |
|---|---|
| 26 and 116 | 1508 |
| 123 and 42 | 1722 |
| 103 and 108 | 11124 |
| 129 and 195 | 8385 |
| 143 and 145 | 20735 |