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 |
|---|---|
| 111 and 27 | 999 |
| 21 and 96 | 672 |
| 129 and 11 | 1419 |
| 130 and 38 | 2470 |
| 112 and 121 | 13552 |