Least Common Multiple (LCM) of 128 and 86
The least common multiple (LCM) of 128 and 86 is 5504.
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 86?
First, calculate the GCD of 128 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 86 = 1 remainder 42 |
| 2 | 86 ÷ 42 = 2 remainder 2 |
| 3 | 42 ÷ 2 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 97 | 18624 |
| 182 and 63 | 1638 |
| 22 and 141 | 3102 |
| 88 and 168 | 1848 |
| 109 and 67 | 7303 |