Least Common Multiple (LCM) of 93 and 197
The least common multiple (LCM) of 93 and 197 is 18321.
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 93 and 197?
First, calculate the GCD of 93 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 197 = 0 remainder 93 |
| 2 | 197 ÷ 93 = 2 remainder 11 |
| 3 | 93 ÷ 11 = 8 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 41 | 82 |
| 131 and 94 | 12314 |
| 46 and 64 | 1472 |
| 65 and 38 | 2470 |
| 67 and 76 | 5092 |