Least Common Multiple (LCM) of 192 and 143
The least common multiple (LCM) of 192 and 143 is 27456.
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 143?
First, calculate the GCD of 192 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 143 = 1 remainder 49 |
| 2 | 143 ÷ 49 = 2 remainder 45 |
| 3 | 49 ÷ 45 = 1 remainder 4 |
| 4 | 45 ÷ 4 = 11 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 200 | 5800 |
| 144 and 70 | 5040 |
| 110 and 72 | 3960 |
| 75 and 87 | 2175 |
| 43 and 18 | 774 |