Least Common Multiple (LCM) of 181 and 197
The least common multiple (LCM) of 181 and 197 is 35657.
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 197?
First, calculate the GCD of 181 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 197 = 0 remainder 181 |
| 2 | 197 ÷ 181 = 1 remainder 16 |
| 3 | 181 ÷ 16 = 11 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 57 | 1311 |
| 175 and 173 | 30275 |
| 182 and 105 | 2730 |
| 194 and 173 | 33562 |
| 13 and 72 | 936 |