Least Common Multiple (LCM) of 130 and 30
The least common multiple (LCM) of 130 and 30 is 390.
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 130 and 30?
First, calculate the GCD of 130 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 30 = 4 remainder 10 |
| 2 | 30 ÷ 10 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 89 | 9968 |
| 142 and 23 | 3266 |
| 57 and 68 | 3876 |
| 189 and 95 | 17955 |
| 21 and 19 | 399 |