Least Common Multiple (LCM) of 165 and 138
The least common multiple (LCM) of 165 and 138 is 7590.
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 138?
First, calculate the GCD of 165 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 138 = 1 remainder 27 |
| 2 | 138 ÷ 27 = 5 remainder 3 |
| 3 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 59 | 10679 |
| 115 and 189 | 21735 |
| 105 and 35 | 105 |
| 27 and 116 | 3132 |
| 186 and 186 | 186 |