Least Common Multiple (LCM) of 195 and 33
The least common multiple (LCM) of 195 and 33 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 195 and 33?
First, calculate the GCD of 195 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 33 = 5 remainder 30 |
| 2 | 33 ÷ 30 = 1 remainder 3 |
| 3 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 23 | 3864 |
| 116 and 36 | 1044 |
| 54 and 131 | 7074 |
| 82 and 32 | 1312 |
| 132 and 154 | 924 |