Least Common Multiple (LCM) of 116 and 194
The least common multiple (LCM) of 116 and 194 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 116 and 194?
First, calculate the GCD of 116 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 194 = 0 remainder 116 |
| 2 | 194 ÷ 116 = 1 remainder 78 |
| 3 | 116 ÷ 78 = 1 remainder 38 |
| 4 | 78 ÷ 38 = 2 remainder 2 |
| 5 | 38 ÷ 2 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 175 | 20300 |
| 74 and 13 | 962 |
| 111 and 38 | 4218 |
| 45 and 146 | 6570 |
| 38 and 95 | 190 |