Least Common Multiple (LCM) of 97 and 193
The least common multiple (LCM) of 97 and 193 is 18721.
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 193?
First, calculate the GCD of 97 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 193 = 0 remainder 97 |
| 2 | 193 ÷ 97 = 1 remainder 96 |
| 3 | 97 ÷ 96 = 1 remainder 1 |
| 4 | 96 ÷ 1 = 96 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 130 | 390 |
| 21 and 157 | 3297 |
| 87 and 176 | 15312 |
| 51 and 104 | 5304 |
| 98 and 127 | 12446 |