Least Common Multiple (LCM) of 23 and 163
The least common multiple (LCM) of 23 and 163 is 3749.
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 23 and 163?
First, calculate the GCD of 23 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 163 = 0 remainder 23 |
| 2 | 163 ÷ 23 = 7 remainder 2 |
| 3 | 23 ÷ 2 = 11 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 121 | 15125 |
| 77 and 191 | 14707 |
| 198 and 46 | 4554 |
| 53 and 49 | 2597 |
| 107 and 166 | 17762 |