Least Common Multiple (LCM) of 103 and 23
The least common multiple (LCM) of 103 and 23 is 2369.
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 103 and 23?
First, calculate the GCD of 103 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 23 = 4 remainder 11 |
| 2 | 23 ÷ 11 = 2 remainder 1 |
| 3 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 14 | 154 |
| 180 and 149 | 26820 |
| 121 and 60 | 7260 |
| 156 and 174 | 4524 |
| 126 and 20 | 1260 |