Least Common Multiple (LCM) of 198 and 108
The least common multiple (LCM) of 198 and 108 is 1188.
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 108?
First, calculate the GCD of 198 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 108 = 1 remainder 90 |
| 2 | 108 ÷ 90 = 1 remainder 18 |
| 3 | 90 ÷ 18 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 152 | 5016 |
| 164 and 132 | 5412 |
| 153 and 16 | 2448 |
| 21 and 185 | 3885 |
| 60 and 129 | 2580 |