Least Common Multiple (LCM) of 44 and 82
The least common multiple (LCM) of 44 and 82 is 1804.
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 82?
First, calculate the GCD of 44 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 82 = 0 remainder 44 |
| 2 | 82 ÷ 44 = 1 remainder 38 |
| 3 | 44 ÷ 38 = 1 remainder 6 |
| 4 | 38 ÷ 6 = 6 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 55 | 2035 |
| 115 and 54 | 6210 |
| 144 and 70 | 5040 |
| 56 and 79 | 4424 |
| 150 and 71 | 10650 |