Least Common Multiple (LCM) of 128 and 85
The least common multiple (LCM) of 128 and 85 is 10880.
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 85?
First, calculate the GCD of 128 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 85 = 1 remainder 43 |
| 2 | 85 ÷ 43 = 1 remainder 42 |
| 3 | 43 ÷ 42 = 1 remainder 1 |
| 4 | 42 ÷ 1 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 79 | 8137 |
| 145 and 63 | 9135 |
| 29 and 91 | 2639 |
| 105 and 14 | 210 |
| 18 and 47 | 846 |