Least Common Multiple (LCM) of 143 and 144
The least common multiple (LCM) of 143 and 144 is 20592.
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 143 and 144?
First, calculate the GCD of 143 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 144 = 0 remainder 143 |
| 2 | 144 ÷ 143 = 1 remainder 1 |
| 3 | 143 ÷ 1 = 143 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 155 | 8835 |
| 61 and 26 | 1586 |
| 154 and 175 | 3850 |
| 33 and 195 | 2145 |
| 119 and 67 | 7973 |