Least Common Multiple (LCM) of 899 and 799
The least common multiple (LCM) of 899 and 799 is 718301.
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 899 and 799?
First, calculate the GCD of 899 and 799 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 899 ÷ 799 = 1 remainder 100 |
| 2 | 799 ÷ 100 = 7 remainder 99 |
| 3 | 100 ÷ 99 = 1 remainder 1 |
| 4 | 99 ÷ 1 = 99 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 112 | 112 |
| 129 and 80 | 10320 |
| 170 and 99 | 16830 |
| 116 and 82 | 4756 |
| 129 and 10 | 1290 |