Least Common Multiple (LCM) of 198 and 92
The least common multiple (LCM) of 198 and 92 is 9108.
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 198 and 92?
First, calculate the GCD of 198 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 92 = 2 remainder 14 |
| 2 | 92 ÷ 14 = 6 remainder 8 |
| 3 | 14 ÷ 8 = 1 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 13 | 1664 |
| 197 and 72 | 14184 |
| 164 and 200 | 8200 |
| 150 and 165 | 1650 |
| 123 and 136 | 16728 |