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 |
|---|---|
| 17 and 89 | 1513 |
| 107 and 49 | 5243 |
| 155 and 193 | 29915 |
| 129 and 153 | 6579 |
| 190 and 51 | 9690 |