Least Common Multiple (LCM) of 43 and 128
The least common multiple (LCM) of 43 and 128 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 43 and 128?
First, calculate the GCD of 43 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 128 = 0 remainder 43 |
| 2 | 128 ÷ 43 = 2 remainder 42 |
| 3 | 43 ÷ 42 = 1 remainder 1 |
| 4 | 42 ÷ 1 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 150 | 18150 |
| 196 and 17 | 3332 |
| 156 and 193 | 30108 |
| 120 and 104 | 1560 |
| 144 and 135 | 2160 |