Least Common Multiple (LCM) of 165 and 39
The least common multiple (LCM) of 165 and 39 is 2145.
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 39?
First, calculate the GCD of 165 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 39 = 4 remainder 9 |
| 2 | 39 ÷ 9 = 4 remainder 3 |
| 3 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 98 | 10486 |
| 158 and 62 | 4898 |
| 40 and 176 | 880 |
| 175 and 12 | 2100 |
| 174 and 66 | 1914 |