Least Common Multiple (LCM) of 130 and 94
The least common multiple (LCM) of 130 and 94 is 6110.
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 94?
First, calculate the GCD of 130 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 94 = 1 remainder 36 |
| 2 | 94 ÷ 36 = 2 remainder 22 |
| 3 | 36 ÷ 22 = 1 remainder 14 |
| 4 | 22 ÷ 14 = 1 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 89 | 14329 |
| 131 and 193 | 25283 |
| 58 and 124 | 3596 |
| 137 and 187 | 25619 |
| 192 and 198 | 6336 |