Least Common Multiple (LCM) of 39 and 194
The least common multiple (LCM) of 39 and 194 is 7566.
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 39 and 194?
First, calculate the GCD of 39 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 194 = 0 remainder 39 |
| 2 | 194 ÷ 39 = 4 remainder 38 |
| 3 | 39 ÷ 38 = 1 remainder 1 |
| 4 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 23 | 2484 |
| 108 and 49 | 5292 |
| 67 and 187 | 12529 |
| 84 and 123 | 3444 |
| 146 and 194 | 14162 |