Least Common Multiple (LCM) of 183 and 163
The least common multiple (LCM) of 183 and 163 is 29829.
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 183 and 163?
First, calculate the GCD of 183 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 163 = 1 remainder 20 |
| 2 | 163 ÷ 20 = 8 remainder 3 |
| 3 | 20 ÷ 3 = 6 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 166 | 8300 |
| 166 and 74 | 6142 |
| 149 and 59 | 8791 |
| 46 and 149 | 6854 |
| 90 and 74 | 3330 |