Least Common Multiple (LCM) of 128 and 161
The least common multiple (LCM) of 128 and 161 is 20608.
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 161?
First, calculate the GCD of 128 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 161 = 0 remainder 128 |
| 2 | 161 ÷ 128 = 1 remainder 33 |
| 3 | 128 ÷ 33 = 3 remainder 29 |
| 4 | 33 ÷ 29 = 1 remainder 4 |
| 5 | 29 ÷ 4 = 7 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 77 | 1155 |
| 57 and 99 | 1881 |
| 12 and 115 | 1380 |
| 65 and 11 | 715 |
| 22 and 34 | 374 |