Least Common Multiple (LCM) of 163 and 47
The least common multiple (LCM) of 163 and 47 is 7661.
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 163 and 47?
First, calculate the GCD of 163 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 47 = 3 remainder 22 |
| 2 | 47 ÷ 22 = 2 remainder 3 |
| 3 | 22 ÷ 3 = 7 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 75 | 900 |
| 106 and 159 | 318 |
| 140 and 86 | 6020 |
| 56 and 132 | 1848 |
| 173 and 80 | 13840 |