Least Common Multiple (LCM) of 163 and 128
The least common multiple (LCM) of 163 and 128 is 20864.
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 163 and 128?
First, calculate the GCD of 163 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 128 = 1 remainder 35 |
| 2 | 128 ÷ 35 = 3 remainder 23 |
| 3 | 35 ÷ 23 = 1 remainder 12 |
| 4 | 23 ÷ 12 = 1 remainder 11 |
| 5 | 12 ÷ 11 = 1 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 38 | 2394 |
| 195 and 105 | 1365 |
| 153 and 36 | 612 |
| 115 and 65 | 1495 |
| 80 and 89 | 7120 |