Least Common Multiple (LCM) of 132 and 192
The least common multiple (LCM) of 132 and 192 is 2112.
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 192?
First, calculate the GCD of 132 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 192 = 0 remainder 132 |
| 2 | 192 ÷ 132 = 1 remainder 60 |
| 3 | 132 ÷ 60 = 2 remainder 12 |
| 4 | 60 ÷ 12 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 132 | 924 |
| 137 and 52 | 7124 |
| 199 and 67 | 13333 |
| 49 and 84 | 588 |
| 153 and 46 | 7038 |