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 |
|---|---|
| 104 and 169 | 1352 |
| 113 and 165 | 18645 |
| 107 and 91 | 9737 |
| 12 and 176 | 528 |
| 109 and 167 | 18203 |