Least Common Multiple (LCM) of 44 and 71
The least common multiple (LCM) of 44 and 71 is 3124.
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 71?
First, calculate the GCD of 44 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 71 = 0 remainder 44 |
| 2 | 71 ÷ 44 = 1 remainder 27 |
| 3 | 44 ÷ 27 = 1 remainder 17 |
| 4 | 27 ÷ 17 = 1 remainder 10 |
| 5 | 17 ÷ 10 = 1 remainder 7 |
| 6 | 10 ÷ 7 = 1 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 61 | 8906 |
| 200 and 163 | 32600 |
| 82 and 182 | 7462 |
| 103 and 90 | 9270 |
| 157 and 22 | 3454 |