Least Common Multiple (LCM) of 198 and 12
The least common multiple (LCM) of 198 and 12 is 396.
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 12?
First, calculate the GCD of 198 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 12 = 16 remainder 6 |
| 2 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 35 | 4130 |
| 75 and 36 | 900 |
| 153 and 199 | 30447 |
| 122 and 83 | 10126 |
| 184 and 53 | 9752 |