Least Common Multiple (LCM) of 92 and 197
The least common multiple (LCM) of 92 and 197 is 18124.
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 92 and 197?
First, calculate the GCD of 92 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 197 = 0 remainder 92 |
| 2 | 197 ÷ 92 = 2 remainder 13 |
| 3 | 92 ÷ 13 = 7 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 74 | 1110 |
| 57 and 114 | 114 |
| 168 and 84 | 168 |
| 195 and 79 | 15405 |
| 133 and 122 | 16226 |