Least Common Multiple (LCM) of 33 and 95
The least common multiple (LCM) of 33 and 95 is 3135.
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 95?
First, calculate the GCD of 33 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 95 = 0 remainder 33 |
| 2 | 95 ÷ 33 = 2 remainder 29 |
| 3 | 33 ÷ 29 = 1 remainder 4 |
| 4 | 29 ÷ 4 = 7 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 93 | 5952 |
| 19 and 57 | 57 |
| 173 and 42 | 7266 |
| 69 and 150 | 3450 |
| 184 and 177 | 32568 |