Least Common Multiple (LCM) of 900 and 2
The least common multiple (LCM) of 900 and 2 is 900.
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 900 and 2?
First, calculate the GCD of 900 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 900 ÷ 2 = 450 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 134 | 11524 |
| 90 and 44 | 1980 |
| 12 and 18 | 36 |
| 193 and 79 | 15247 |
| 90 and 189 | 1890 |