Least Common Multiple (LCM) of 44 and 57
The least common multiple (LCM) of 44 and 57 is 2508.
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 57?
First, calculate the GCD of 44 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 57 = 0 remainder 44 |
| 2 | 57 ÷ 44 = 1 remainder 13 |
| 3 | 44 ÷ 13 = 3 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 93 | 7719 |
| 148 and 17 | 2516 |
| 181 and 137 | 24797 |
| 165 and 171 | 9405 |
| 83 and 173 | 14359 |