Least Common Multiple (LCM) of 47 and 191
The least common multiple (LCM) of 47 and 191 is 8977.
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 191?
First, calculate the GCD of 47 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 191 = 0 remainder 47 |
| 2 | 191 ÷ 47 = 4 remainder 3 |
| 3 | 47 ÷ 3 = 15 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 25 | 175 |
| 23 and 187 | 4301 |
| 85 and 142 | 12070 |
| 157 and 22 | 3454 |
| 186 and 110 | 10230 |