Least Common Multiple (LCM) of 193 and 97
The least common multiple (LCM) of 193 and 97 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 193 and 97?
First, calculate the GCD of 193 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 97 = 1 remainder 96 |
| 2 | 97 ÷ 96 = 1 remainder 1 |
| 3 | 96 ÷ 1 = 96 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 165 | 165 |
| 123 and 134 | 16482 |
| 108 and 175 | 18900 |
| 110 and 12 | 660 |
| 100 and 20 | 100 |