Least Common Multiple (LCM) of 200 and 176
The least common multiple (LCM) of 200 and 176 is 4400.
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 200 and 176?
First, calculate the GCD of 200 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 176 = 1 remainder 24 |
| 2 | 176 ÷ 24 = 7 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 41 | 5822 |
| 89 and 194 | 17266 |
| 66 and 174 | 1914 |
| 111 and 100 | 11100 |
| 14 and 195 | 2730 |