Least Common Multiple (LCM) of 33 and 11
The least common multiple (LCM) of 33 and 11 is 33.
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 11?
First, calculate the GCD of 33 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 165 | 3795 |
| 55 and 105 | 1155 |
| 177 and 76 | 13452 |
| 17 and 142 | 2414 |
| 169 and 42 | 7098 |