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 |
|---|---|
| 194 and 79 | 15326 |
| 167 and 12 | 2004 |
| 87 and 145 | 435 |
| 196 and 120 | 5880 |
| 51 and 53 | 2703 |