Least Common Multiple (LCM) of 828 and 2
The least common multiple (LCM) of 828 and 2 is 828.
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 828 and 2?
First, calculate the GCD of 828 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 828 ÷ 2 = 414 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 75 | 3225 |
| 95 and 95 | 95 |
| 20 and 161 | 3220 |
| 125 and 51 | 6375 |
| 170 and 100 | 1700 |