Least Common Multiple (LCM) of 44 and 165
The least common multiple (LCM) of 44 and 165 is 660.
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 165?
First, calculate the GCD of 44 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 165 = 0 remainder 44 |
| 2 | 165 ÷ 44 = 3 remainder 33 |
| 3 | 44 ÷ 33 = 1 remainder 11 |
| 4 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 63 | 6552 |
| 181 and 191 | 34571 |
| 63 and 105 | 315 |
| 61 and 77 | 4697 |
| 13 and 150 | 1950 |