Least Common Multiple (LCM) of 811 and 763
The least common multiple (LCM) of 811 and 763 is 618793.
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 811 and 763?
First, calculate the GCD of 811 and 763 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 811 ÷ 763 = 1 remainder 48 |
| 2 | 763 ÷ 48 = 15 remainder 43 |
| 3 | 48 ÷ 43 = 1 remainder 5 |
| 4 | 43 ÷ 5 = 8 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 187 | 37213 |
| 96 and 114 | 1824 |
| 91 and 158 | 14378 |
| 63 and 26 | 1638 |
| 138 and 11 | 1518 |