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 |
|---|---|
| 121 and 101 | 12221 |
| 62 and 129 | 7998 |
| 46 and 74 | 1702 |
| 122 and 38 | 2318 |
| 34 and 162 | 2754 |