Least Common Multiple (LCM) of 194 and 116
The least common multiple (LCM) of 194 and 116 is 11252.
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 194 and 116?
First, calculate the GCD of 194 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 116 = 1 remainder 78 |
| 2 | 116 ÷ 78 = 1 remainder 38 |
| 3 | 78 ÷ 38 = 2 remainder 2 |
| 4 | 38 ÷ 2 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 72 | 72 |
| 197 and 82 | 16154 |
| 71 and 17 | 1207 |
| 86 and 168 | 7224 |
| 174 and 83 | 14442 |