Least Common Multiple (LCM) of 144 and 143
The least common multiple (LCM) of 144 and 143 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 144 and 143?
First, calculate the GCD of 144 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 143 = 1 remainder 1 |
| 2 | 143 ÷ 1 = 143 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 167 | 31229 |
| 105 and 81 | 2835 |
| 142 and 69 | 9798 |
| 182 and 124 | 11284 |
| 82 and 188 | 7708 |