Least Common Multiple (LCM) of 44 and 81
The least common multiple (LCM) of 44 and 81 is 3564.
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 81?
First, calculate the GCD of 44 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 81 = 0 remainder 44 |
| 2 | 81 ÷ 44 = 1 remainder 37 |
| 3 | 44 ÷ 37 = 1 remainder 7 |
| 4 | 37 ÷ 7 = 5 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 68 | 748 |
| 120 and 194 | 11640 |
| 137 and 157 | 21509 |
| 55 and 50 | 550 |
| 73 and 29 | 2117 |