Least Common Multiple (LCM) of 576 and 2
The least common multiple (LCM) of 576 and 2 is 576.
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 576 and 2?
First, calculate the GCD of 576 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 576 ÷ 2 = 288 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 47 | 8742 |
| 169 and 169 | 169 |
| 126 and 104 | 6552 |
| 200 and 123 | 24600 |
| 33 and 172 | 5676 |