Least Common Multiple (LCM) of 993 and 2
The least common multiple (LCM) of 993 and 2 is 1986.
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 993 and 2?
First, calculate the GCD of 993 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 993 ÷ 2 = 496 remainder 1 |
| 2 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 96 | 1632 |
| 149 and 34 | 5066 |
| 100 and 163 | 16300 |
| 174 and 99 | 5742 |
| 133 and 38 | 266 |