Least Common Multiple (LCM) of 171 and 143
The least common multiple (LCM) of 171 and 143 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 171 and 143?
First, calculate the GCD of 171 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 143 = 1 remainder 28 |
| 2 | 143 ÷ 28 = 5 remainder 3 |
| 3 | 28 ÷ 3 = 9 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 71 | 13916 |
| 120 and 52 | 1560 |
| 22 and 173 | 3806 |
| 81 and 185 | 14985 |
| 109 and 98 | 10682 |