Least Common Multiple (LCM) of 44 and 86
The least common multiple (LCM) of 44 and 86 is 1892.
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 86?
First, calculate the GCD of 44 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 86 = 0 remainder 44 |
| 2 | 86 ÷ 44 = 1 remainder 42 |
| 3 | 44 ÷ 42 = 1 remainder 2 |
| 4 | 42 ÷ 2 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 165 | 3795 |
| 134 and 184 | 12328 |
| 149 and 104 | 15496 |
| 64 and 170 | 5440 |
| 103 and 47 | 4841 |