Least Common Multiple (LCM) of 132 and 198
The least common multiple (LCM) of 132 and 198 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 132 and 198?
First, calculate the GCD of 132 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 198 = 0 remainder 132 |
| 2 | 198 ÷ 132 = 1 remainder 66 |
| 3 | 132 ÷ 66 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 27 | 4185 |
| 194 and 126 | 12222 |
| 87 and 88 | 7656 |
| 23 and 103 | 2369 |
| 54 and 173 | 9342 |