Least Common Multiple (LCM) of 116 and 130
The least common multiple (LCM) of 116 and 130 is 7540.
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 116 and 130?
First, calculate the GCD of 116 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 130 = 0 remainder 116 |
| 2 | 130 ÷ 116 = 1 remainder 14 |
| 3 | 116 ÷ 14 = 8 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 32 | 1952 |
| 45 and 126 | 630 |
| 130 and 71 | 9230 |
| 159 and 73 | 11607 |
| 56 and 71 | 3976 |