Least Common Multiple (LCM) of 47 and 166
The least common multiple (LCM) of 47 and 166 is 7802.
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 166?
First, calculate the GCD of 47 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 166 = 0 remainder 47 |
| 2 | 166 ÷ 47 = 3 remainder 25 |
| 3 | 47 ÷ 25 = 1 remainder 22 |
| 4 | 25 ÷ 22 = 1 remainder 3 |
| 5 | 22 ÷ 3 = 7 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 113 | 11187 |
| 18 and 33 | 198 |
| 178 and 35 | 6230 |
| 185 and 55 | 2035 |
| 177 and 135 | 7965 |