Least Common Multiple (LCM) of 103 and 103
The least common multiple (LCM) of 103 and 103 is 103.
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 103?
First, calculate the GCD of 103 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 103 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 157 | 27318 |
| 45 and 162 | 810 |
| 106 and 109 | 11554 |
| 174 and 95 | 16530 |
| 149 and 40 | 5960 |