Least Common Multiple (LCM) of 192 and 132
The least common multiple (LCM) of 192 and 132 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 192 and 132?
First, calculate the GCD of 192 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 132 = 1 remainder 60 |
| 2 | 132 ÷ 60 = 2 remainder 12 |
| 3 | 60 ÷ 12 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 182 | 11102 |
| 72 and 128 | 1152 |
| 175 and 123 | 21525 |
| 104 and 182 | 728 |
| 59 and 123 | 7257 |