Least Common Multiple (LCM) of 165 and 44
The least common multiple (LCM) of 165 and 44 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 165 and 44?
First, calculate the GCD of 165 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 44 = 3 remainder 33 |
| 2 | 44 ÷ 33 = 1 remainder 11 |
| 3 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 60 | 4380 |
| 123 and 60 | 2460 |
| 105 and 124 | 13020 |
| 61 and 138 | 8418 |
| 165 and 40 | 1320 |