Least Common Multiple (LCM) of 128 and 84
The least common multiple (LCM) of 128 and 84 is 2688.
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 84?
First, calculate the GCD of 128 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 84 = 1 remainder 44 |
| 2 | 84 ÷ 44 = 1 remainder 40 |
| 3 | 44 ÷ 40 = 1 remainder 4 |
| 4 | 40 ÷ 4 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 113 | 14125 |
| 48 and 180 | 720 |
| 128 and 145 | 18560 |
| 102 and 189 | 6426 |
| 153 and 105 | 5355 |