Least Common Multiple (LCM) of 192 and 84
The least common multiple (LCM) of 192 and 84 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 84?
First, calculate the GCD of 192 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 84 = 2 remainder 24 |
| 2 | 84 ÷ 24 = 3 remainder 12 |
| 3 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 129 | 5289 |
| 128 and 19 | 2432 |
| 109 and 54 | 5886 |
| 101 and 184 | 18584 |
| 177 and 26 | 4602 |