Least Common Multiple (LCM) of 283 and 909
The least common multiple (LCM) of 283 and 909 is 257247.
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 283 and 909?
First, calculate the GCD of 283 and 909 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 283 ÷ 909 = 0 remainder 283 |
| 2 | 909 ÷ 283 = 3 remainder 60 |
| 3 | 283 ÷ 60 = 4 remainder 43 |
| 4 | 60 ÷ 43 = 1 remainder 17 |
| 5 | 43 ÷ 17 = 2 remainder 9 |
| 6 | 17 ÷ 9 = 1 remainder 8 |
| 7 | 9 ÷ 8 = 1 remainder 1 |
| 8 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 34 | 1122 |
| 12 and 49 | 588 |
| 21 and 147 | 147 |
| 29 and 87 | 87 |
| 149 and 44 | 6556 |