Least Common Multiple (LCM) of 128 and 130
The least common multiple (LCM) of 128 and 130 is 8320.
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 130?
First, calculate the GCD of 128 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 130 = 0 remainder 128 |
| 2 | 130 ÷ 128 = 1 remainder 2 |
| 3 | 128 ÷ 2 = 64 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 102 | 14790 |
| 117 and 22 | 2574 |
| 108 and 40 | 1080 |
| 170 and 168 | 14280 |
| 72 and 165 | 3960 |