Least Common Multiple (LCM) of 198 and 24
The least common multiple (LCM) of 198 and 24 is 792.
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 24?
First, calculate the GCD of 198 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 24 = 8 remainder 6 |
| 2 | 24 ÷ 6 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 25 | 4100 |
| 199 and 71 | 14129 |
| 141 and 33 | 1551 |
| 122 and 109 | 13298 |
| 32 and 16 | 32 |