Least Common Multiple (LCM) of 103 and 44
The least common multiple (LCM) of 103 and 44 is 4532.
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 44?
First, calculate the GCD of 103 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 44 = 2 remainder 15 |
| 2 | 44 ÷ 15 = 2 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 19 | 2090 |
| 25 and 30 | 150 |
| 178 and 190 | 16910 |
| 139 and 68 | 9452 |
| 157 and 43 | 6751 |