Least Common Multiple (LCM) of 165 and 132
The least common multiple (LCM) of 165 and 132 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 132?
First, calculate the GCD of 165 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 132 = 1 remainder 33 |
| 2 | 132 ÷ 33 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 49 | 3479 |
| 132 and 110 | 660 |
| 118 and 123 | 14514 |
| 122 and 183 | 366 |
| 190 and 112 | 10640 |