Least Common Multiple (LCM) of 194 and 181
The least common multiple (LCM) of 194 and 181 is 35114.
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 181?
First, calculate the GCD of 194 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 181 = 1 remainder 13 |
| 2 | 181 ÷ 13 = 13 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 144 | 20016 |
| 86 and 69 | 5934 |
| 185 and 26 | 4810 |
| 198 and 138 | 4554 |
| 184 and 72 | 1656 |