Least Common Multiple (LCM) of 143 and 171
The least common multiple (LCM) of 143 and 171 is 24453.
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 171?
First, calculate the GCD of 143 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 171 = 0 remainder 143 |
| 2 | 171 ÷ 143 = 1 remainder 28 |
| 3 | 143 ÷ 28 = 5 remainder 3 |
| 4 | 28 ÷ 3 = 9 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 109 | 9047 |
| 21 and 154 | 462 |
| 42 and 41 | 1722 |
| 43 and 105 | 4515 |
| 40 and 40 | 40 |