Least Common Multiple (LCM) of 47 and 181
The least common multiple (LCM) of 47 and 181 is 8507.
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 47 and 181?
First, calculate the GCD of 47 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 181 = 0 remainder 47 |
| 2 | 181 ÷ 47 = 3 remainder 40 |
| 3 | 47 ÷ 40 = 1 remainder 7 |
| 4 | 40 ÷ 7 = 5 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 14 | 14 |
| 194 and 37 | 7178 |
| 33 and 129 | 1419 |
| 97 and 196 | 19012 |
| 182 and 116 | 10556 |