Least Common Multiple (LCM) of 813 and 2
The least common multiple (LCM) of 813 and 2 is 1626.
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 813 and 2?
First, calculate the GCD of 813 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 813 ÷ 2 = 406 remainder 1 |
| 2 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 187 | 11968 |
| 26 and 137 | 3562 |
| 123 and 92 | 11316 |
| 71 and 51 | 3621 |
| 188 and 74 | 6956 |