Least Common Multiple (LCM) of 184 and 130
The least common multiple (LCM) of 184 and 130 is 11960.
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 184 and 130?
First, calculate the GCD of 184 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 130 = 1 remainder 54 |
| 2 | 130 ÷ 54 = 2 remainder 22 |
| 3 | 54 ÷ 22 = 2 remainder 10 |
| 4 | 22 ÷ 10 = 2 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 75 | 150 |
| 75 and 105 | 525 |
| 48 and 26 | 624 |
| 150 and 127 | 19050 |
| 28 and 65 | 1820 |