Least Common Multiple (LCM) of 165 and 115
The least common multiple (LCM) of 165 and 115 is 3795.
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 115?
First, calculate the GCD of 165 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 115 = 1 remainder 50 |
| 2 | 115 ÷ 50 = 2 remainder 15 |
| 3 | 50 ÷ 15 = 3 remainder 5 |
| 4 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 45 | 8685 |
| 58 and 171 | 9918 |
| 153 and 98 | 14994 |
| 12 and 46 | 276 |
| 66 and 126 | 1386 |