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 |
|---|---|
| 109 and 101 | 11009 |
| 46 and 19 | 874 |
| 178 and 88 | 7832 |
| 132 and 64 | 2112 |
| 140 and 183 | 25620 |