Least Common Multiple (LCM) of 43 and 130
The least common multiple (LCM) of 43 and 130 is 5590.
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 43 and 130?
First, calculate the GCD of 43 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 130 = 0 remainder 43 |
| 2 | 130 ÷ 43 = 3 remainder 1 |
| 3 | 43 ÷ 1 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 23 | 3312 |
| 147 and 58 | 8526 |
| 104 and 195 | 1560 |
| 154 and 86 | 6622 |
| 144 and 135 | 2160 |