Least Common Multiple (LCM) of 130 and 116
The least common multiple (LCM) of 130 and 116 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 130 and 116?
First, calculate the GCD of 130 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 116 = 1 remainder 14 |
| 2 | 116 ÷ 14 = 8 remainder 4 |
| 3 | 14 ÷ 4 = 3 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 60 | 11820 |
| 182 and 11 | 2002 |
| 69 and 139 | 9591 |
| 71 and 139 | 9869 |
| 195 and 114 | 7410 |