Least Common Multiple (LCM) of 47 and 187
The least common multiple (LCM) of 47 and 187 is 8789.
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 187?
First, calculate the GCD of 47 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 187 = 0 remainder 47 |
| 2 | 187 ÷ 47 = 3 remainder 46 |
| 3 | 47 ÷ 46 = 1 remainder 1 |
| 4 | 46 ÷ 1 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 181 | 30589 |
| 198 and 192 | 6336 |
| 120 and 181 | 21720 |
| 178 and 48 | 4272 |
| 109 and 185 | 20165 |