Least Common Multiple (LCM) of 94 and 200
The least common multiple (LCM) of 94 and 200 is 9400.
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 94 and 200?
First, calculate the GCD of 94 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 200 = 0 remainder 94 |
| 2 | 200 ÷ 94 = 2 remainder 12 |
| 3 | 94 ÷ 12 = 7 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 46 | 5382 |
| 118 and 156 | 9204 |
| 82 and 133 | 10906 |
| 64 and 192 | 192 |
| 88 and 177 | 15576 |