Least Common Multiple (LCM) of 104 and 200
The least common multiple (LCM) of 104 and 200 is 2600.
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 104 and 200?
First, calculate the GCD of 104 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 200 = 0 remainder 104 |
| 2 | 200 ÷ 104 = 1 remainder 96 |
| 3 | 104 ÷ 96 = 1 remainder 8 |
| 4 | 96 ÷ 8 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 113 | 5085 |
| 200 and 189 | 37800 |
| 192 and 96 | 192 |
| 87 and 119 | 10353 |
| 176 and 144 | 1584 |