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 |
|---|---|
| 86 and 12 | 516 |
| 43 and 111 | 4773 |
| 65 and 91 | 455 |
| 148 and 190 | 14060 |
| 69 and 96 | 2208 |