Least Common Multiple (LCM) of 194 and 86
The least common multiple (LCM) of 194 and 86 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 194 and 86?
First, calculate the GCD of 194 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 86 = 2 remainder 22 |
| 2 | 86 ÷ 22 = 3 remainder 20 |
| 3 | 22 ÷ 20 = 1 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 57 | 6783 |
| 147 and 24 | 1176 |
| 182 and 56 | 728 |
| 22 and 182 | 2002 |
| 22 and 105 | 2310 |