Least Common Multiple (LCM) of 47 and 182
The least common multiple (LCM) of 47 and 182 is 8554.
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 182?
First, calculate the GCD of 47 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 182 = 0 remainder 47 |
| 2 | 182 ÷ 47 = 3 remainder 41 |
| 3 | 47 ÷ 41 = 1 remainder 6 |
| 4 | 41 ÷ 6 = 6 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 187 | 26367 |
| 158 and 52 | 4108 |
| 163 and 122 | 19886 |
| 199 and 115 | 22885 |
| 52 and 155 | 8060 |