Least Common Multiple (LCM) of 165 and 40
The least common multiple (LCM) of 165 and 40 is 1320.
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 40?
First, calculate the GCD of 165 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 40 = 4 remainder 5 |
| 2 | 40 ÷ 5 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 156 | 15132 |
| 115 and 89 | 10235 |
| 186 and 81 | 5022 |
| 45 and 17 | 765 |
| 103 and 19 | 1957 |