Least Common Multiple (LCM) of 849 and 2
The least common multiple (LCM) of 849 and 2 is 1698.
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 849 and 2?
First, calculate the GCD of 849 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 849 ÷ 2 = 424 remainder 1 |
| 2 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 11 | 506 |
| 154 and 131 | 20174 |
| 48 and 66 | 528 |
| 173 and 154 | 26642 |
| 67 and 200 | 13400 |