Least Common Multiple (LCM) of 43 and 171
The least common multiple (LCM) of 43 and 171 is 7353.
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 43 and 171?
First, calculate the GCD of 43 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 171 = 0 remainder 43 |
| 2 | 171 ÷ 43 = 3 remainder 42 |
| 3 | 43 ÷ 42 = 1 remainder 1 |
| 4 | 42 ÷ 1 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 60 | 780 |
| 39 and 31 | 1209 |
| 39 and 82 | 3198 |
| 33 and 199 | 6567 |
| 43 and 55 | 2365 |