Least Common Multiple (LCM) of 181 and 193
The least common multiple (LCM) of 181 and 193 is 34933.
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 181 and 193?
First, calculate the GCD of 181 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 193 = 0 remainder 181 |
| 2 | 193 ÷ 181 = 1 remainder 12 |
| 3 | 181 ÷ 12 = 15 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 75 | 14775 |
| 138 and 199 | 27462 |
| 33 and 192 | 2112 |
| 144 and 112 | 1008 |
| 186 and 195 | 12090 |