Least Common Multiple (LCM) of 194 and 108
The least common multiple (LCM) of 194 and 108 is 10476.
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 108?
First, calculate the GCD of 194 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 108 = 1 remainder 86 |
| 2 | 108 ÷ 86 = 1 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 |
|---|---|
| 61 and 85 | 5185 |
| 191 and 56 | 10696 |
| 65 and 98 | 6370 |
| 124 and 113 | 14012 |
| 189 and 78 | 4914 |