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 |
|---|---|
| 110 and 120 | 1320 |
| 199 and 161 | 32039 |
| 184 and 14 | 1288 |
| 189 and 47 | 8883 |
| 144 and 157 | 22608 |