Least Common Multiple (LCM) of 197 and 181
The least common multiple (LCM) of 197 and 181 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 197 and 181?
First, calculate the GCD of 197 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 181 = 1 remainder 16 |
| 2 | 181 ÷ 16 = 11 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 25 | 4025 |
| 68 and 11 | 748 |
| 103 and 179 | 18437 |
| 20 and 13 | 260 |
| 143 and 110 | 1430 |