Least Common Multiple (LCM) of 143 and 159
The least common multiple (LCM) of 143 and 159 is 22737.
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 159?
First, calculate the GCD of 143 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 159 = 0 remainder 143 |
| 2 | 159 ÷ 143 = 1 remainder 16 |
| 3 | 143 ÷ 16 = 8 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 90 | 2790 |
| 162 and 54 | 162 |
| 145 and 85 | 2465 |
| 198 and 171 | 3762 |
| 101 and 104 | 10504 |