Least Common Multiple (LCM) of 44 and 104
The least common multiple (LCM) of 44 and 104 is 1144.
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 104?
First, calculate the GCD of 44 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 104 = 0 remainder 44 |
| 2 | 104 ÷ 44 = 2 remainder 16 |
| 3 | 44 ÷ 16 = 2 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 18 | 666 |
| 182 and 142 | 12922 |
| 189 and 56 | 1512 |
| 133 and 90 | 11970 |
| 196 and 178 | 17444 |