Least Common Multiple (LCM) of 200 and 96
The least common multiple (LCM) of 200 and 96 is 2400.
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 96?
First, calculate the GCD of 200 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 96 = 2 remainder 8 |
| 2 | 96 ÷ 8 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 36 | 1332 |
| 183 and 116 | 21228 |
| 23 and 12 | 276 |
| 116 and 180 | 5220 |
| 196 and 142 | 13916 |