Least Common Multiple (LCM) of 130 and 112
The least common multiple (LCM) of 130 and 112 is 7280.
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 112?
First, calculate the GCD of 130 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 112 = 1 remainder 18 |
| 2 | 112 ÷ 18 = 6 remainder 4 |
| 3 | 18 ÷ 4 = 4 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 62 | 682 |
| 174 and 66 | 1914 |
| 174 and 165 | 9570 |
| 113 and 82 | 9266 |
| 76 and 103 | 7828 |