Least Common Multiple (LCM) of 97 and 181
The least common multiple (LCM) of 97 and 181 is 17557.
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 97 and 181?
First, calculate the GCD of 97 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 181 = 0 remainder 97 |
| 2 | 181 ÷ 97 = 1 remainder 84 |
| 3 | 97 ÷ 84 = 1 remainder 13 |
| 4 | 84 ÷ 13 = 6 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 142 | 1846 |
| 177 and 17 | 3009 |
| 87 and 129 | 3741 |
| 179 and 183 | 32757 |
| 35 and 115 | 805 |