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 |
|---|---|
| 115 and 61 | 7015 |
| 43 and 16 | 688 |
| 36 and 150 | 900 |
| 73 and 120 | 8760 |
| 161 and 34 | 5474 |