Least Common Multiple (LCM) of 71 and 47
The least common multiple (LCM) of 71 and 47 is 3337.
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 47?
First, calculate the GCD of 71 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 47 = 1 remainder 24 |
| 2 | 47 ÷ 24 = 1 remainder 23 |
| 3 | 24 ÷ 23 = 1 remainder 1 |
| 4 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 14 | 224 |
| 168 and 85 | 14280 |
| 30 and 113 | 3390 |
| 105 and 43 | 4515 |
| 73 and 137 | 10001 |