Least Common Multiple (LCM) of 128 and 181
The least common multiple (LCM) of 128 and 181 is 23168.
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 181?
First, calculate the GCD of 128 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 181 = 0 remainder 128 |
| 2 | 181 ÷ 128 = 1 remainder 53 |
| 3 | 128 ÷ 53 = 2 remainder 22 |
| 4 | 53 ÷ 22 = 2 remainder 9 |
| 5 | 22 ÷ 9 = 2 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 147 | 19110 |
| 155 and 195 | 6045 |
| 123 and 172 | 21156 |
| 21 and 14 | 42 |
| 43 and 67 | 2881 |