Least Common Multiple (LCM) of 128 and 142
The least common multiple (LCM) of 128 and 142 is 9088.
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 142?
First, calculate the GCD of 128 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 142 = 0 remainder 128 |
| 2 | 142 ÷ 128 = 1 remainder 14 |
| 3 | 128 ÷ 14 = 9 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 126 | 14238 |
| 38 and 185 | 7030 |
| 177 and 165 | 9735 |
| 184 and 181 | 33304 |
| 196 and 72 | 3528 |