Least Common Multiple (LCM) of 71 and 57
The least common multiple (LCM) of 71 and 57 is 4047.
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 71 and 57?
First, calculate the GCD of 71 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 57 = 1 remainder 14 |
| 2 | 57 ÷ 14 = 4 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 22 | 3190 |
| 40 and 125 | 1000 |
| 187 and 48 | 8976 |
| 30 and 131 | 3930 |
| 120 and 173 | 20760 |