Least Common Multiple (LCM) of 193 and 181
The least common multiple (LCM) of 193 and 181 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 193 and 181?
First, calculate the GCD of 193 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 181 = 1 remainder 12 |
| 2 | 181 ÷ 12 = 15 remainder 1 |
| 3 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 142 | 9798 |
| 84 and 118 | 4956 |
| 133 and 175 | 3325 |
| 194 and 161 | 31234 |
| 110 and 121 | 1210 |