Least Common Multiple (LCM) of 129 and 33
The least common multiple (LCM) of 129 and 33 is 1419.
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 129 and 33?
First, calculate the GCD of 129 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 33 = 3 remainder 30 |
| 2 | 33 ÷ 30 = 1 remainder 3 |
| 3 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 105 | 4200 |
| 69 and 162 | 3726 |
| 43 and 21 | 903 |
| 189 and 159 | 10017 |
| 200 and 130 | 2600 |