Least Common Multiple (LCM) of 86 and 194
The least common multiple (LCM) of 86 and 194 is 8342.
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 86 and 194?
First, calculate the GCD of 86 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 194 = 0 remainder 86 |
| 2 | 194 ÷ 86 = 2 remainder 22 |
| 3 | 86 ÷ 22 = 3 remainder 20 |
| 4 | 22 ÷ 20 = 1 remainder 2 |
| 5 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 180 | 3420 |
| 103 and 187 | 19261 |
| 131 and 88 | 11528 |
| 170 and 109 | 18530 |
| 177 and 58 | 10266 |