Least Common Multiple (LCM) of 33 and 130
The least common multiple (LCM) of 33 and 130 is 4290.
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 130?
First, calculate the GCD of 33 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 130 = 0 remainder 33 |
| 2 | 130 ÷ 33 = 3 remainder 31 |
| 3 | 33 ÷ 31 = 1 remainder 2 |
| 4 | 31 ÷ 2 = 15 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 150 | 5550 |
| 178 and 98 | 8722 |
| 157 and 29 | 4553 |
| 15 and 99 | 495 |
| 105 and 60 | 420 |