Least Common Multiple (LCM) of 192 and 28
The least common multiple (LCM) of 192 and 28 is 1344.
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 28?
First, calculate the GCD of 192 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 28 = 6 remainder 24 |
| 2 | 28 ÷ 24 = 1 remainder 4 |
| 3 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 38 | 2774 |
| 10 and 165 | 330 |
| 27 and 166 | 4482 |
| 181 and 17 | 3077 |
| 107 and 76 | 8132 |