Least Common Multiple (LCM) of 44 and 103
The least common multiple (LCM) of 44 and 103 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 44 and 103?
First, calculate the GCD of 44 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 103 = 0 remainder 44 |
| 2 | 103 ÷ 44 = 2 remainder 15 |
| 3 | 44 ÷ 15 = 2 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 96 | 1056 |
| 18 and 22 | 198 |
| 64 and 57 | 3648 |
| 190 and 36 | 3420 |
| 153 and 18 | 306 |