Least Common Multiple (LCM) of 44 and 181
The least common multiple (LCM) of 44 and 181 is 7964.
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 181?
First, calculate the GCD of 44 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 181 = 0 remainder 44 |
| 2 | 181 ÷ 44 = 4 remainder 5 |
| 3 | 44 ÷ 5 = 8 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 72 | 4824 |
| 122 and 169 | 20618 |
| 101 and 63 | 6363 |
| 60 and 65 | 780 |
| 149 and 82 | 12218 |