Least Common Multiple (LCM) of 181 and 128
The least common multiple (LCM) of 181 and 128 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 181 and 128?
First, calculate the GCD of 181 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 128 = 1 remainder 53 |
| 2 | 128 ÷ 53 = 2 remainder 22 |
| 3 | 53 ÷ 22 = 2 remainder 9 |
| 4 | 22 ÷ 9 = 2 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 54 | 270 |
| 151 and 123 | 18573 |
| 172 and 57 | 9804 |
| 95 and 45 | 855 |
| 125 and 37 | 4625 |