Least Common Multiple (LCM) of 144 and 192
The least common multiple (LCM) of 144 and 192 is 576.
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 144 and 192?
First, calculate the GCD of 144 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 192 = 0 remainder 144 |
| 2 | 192 ÷ 144 = 1 remainder 48 |
| 3 | 144 ÷ 48 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 113 | 20792 |
| 83 and 60 | 4980 |
| 140 and 163 | 22820 |
| 135 and 71 | 9585 |
| 152 and 14 | 1064 |