Least Common Multiple (LCM) of 103 and 26
The least common multiple (LCM) of 103 and 26 is 2678.
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 26?
First, calculate the GCD of 103 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 26 = 3 remainder 25 |
| 2 | 26 ÷ 25 = 1 remainder 1 |
| 3 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 74 | 5180 |
| 24 and 23 | 552 |
| 193 and 180 | 34740 |
| 114 and 198 | 3762 |
| 112 and 18 | 1008 |