Least Common Multiple (LCM) of 129 and 128
The least common multiple (LCM) of 129 and 128 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 129 and 128?
First, calculate the GCD of 129 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 128 = 1 remainder 1 |
| 2 | 128 ÷ 1 = 128 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 152 | 10792 |
| 46 and 43 | 1978 |
| 138 and 55 | 7590 |
| 128 and 27 | 3456 |
| 21 and 40 | 840 |