Least Common Multiple (LCM) of 198 and 32
The least common multiple (LCM) of 198 and 32 is 3168.
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 32?
First, calculate the GCD of 198 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 32 = 6 remainder 6 |
| 2 | 32 ÷ 6 = 5 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 114 | 3990 |
| 45 and 104 | 4680 |
| 167 and 127 | 21209 |
| 133 and 163 | 21679 |
| 188 and 164 | 7708 |