Least Common Multiple (LCM) of 97 and 191
The least common multiple (LCM) of 97 and 191 is 18527.
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 191?
First, calculate the GCD of 97 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 191 = 0 remainder 97 |
| 2 | 191 ÷ 97 = 1 remainder 94 |
| 3 | 97 ÷ 94 = 1 remainder 3 |
| 4 | 94 ÷ 3 = 31 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 194 | 20370 |
| 56 and 110 | 3080 |
| 51 and 92 | 4692 |
| 74 and 115 | 8510 |
| 137 and 81 | 11097 |