Least Common Multiple (LCM) of 194 and 78
The least common multiple (LCM) of 194 and 78 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 194 and 78?
First, calculate the GCD of 194 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 78 = 2 remainder 38 |
| 2 | 78 ÷ 38 = 2 remainder 2 |
| 3 | 38 ÷ 2 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 46 | 8050 |
| 108 and 12 | 108 |
| 127 and 82 | 10414 |
| 114 and 55 | 6270 |
| 138 and 139 | 19182 |