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 |
|---|---|
| 146 and 62 | 4526 |
| 136 and 103 | 14008 |
| 132 and 56 | 1848 |
| 47 and 13 | 611 |
| 96 and 176 | 1056 |