Least Common Multiple (LCM) of 33 and 115
The least common multiple (LCM) of 33 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 33 and 115?
First, calculate the GCD of 33 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 115 = 0 remainder 33 |
| 2 | 115 ÷ 33 = 3 remainder 16 |
| 3 | 33 ÷ 16 = 2 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 181 | 33666 |
| 84 and 81 | 2268 |
| 56 and 147 | 1176 |
| 177 and 149 | 26373 |
| 99 and 66 | 198 |