Least Common Multiple (LCM) of 128 and 129
The least common multiple (LCM) of 128 and 129 is 16512.
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 129?
First, calculate the GCD of 128 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 129 = 0 remainder 128 |
| 2 | 129 ÷ 128 = 1 remainder 1 |
| 3 | 128 ÷ 1 = 128 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 71 | 10579 |
| 163 and 97 | 15811 |
| 141 and 118 | 16638 |
| 82 and 105 | 8610 |
| 163 and 139 | 22657 |