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 |
|---|---|
| 89 and 29 | 2581 |
| 165 and 169 | 27885 |
| 188 and 196 | 9212 |
| 60 and 192 | 960 |
| 106 and 29 | 3074 |