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 |
|---|---|
| 147 and 45 | 2205 |
| 81 and 121 | 9801 |
| 112 and 98 | 784 |
| 121 and 151 | 18271 |
| 165 and 11 | 165 |