Least Common Multiple (LCM) of 57 and 71
The least common multiple (LCM) of 57 and 71 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 57 and 71?
First, calculate the GCD of 57 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 71 = 0 remainder 57 |
| 2 | 71 ÷ 57 = 1 remainder 14 |
| 3 | 57 ÷ 14 = 4 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 57 | 5187 |
| 109 and 109 | 109 |
| 88 and 60 | 1320 |
| 117 and 156 | 468 |
| 167 and 53 | 8851 |