Least Common Multiple (LCM) of 94 and 130
The least common multiple (LCM) of 94 and 130 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 94 and 130?
First, calculate the GCD of 94 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 130 = 0 remainder 94 |
| 2 | 130 ÷ 94 = 1 remainder 36 |
| 3 | 94 ÷ 36 = 2 remainder 22 |
| 4 | 36 ÷ 22 = 1 remainder 14 |
| 5 | 22 ÷ 14 = 1 remainder 8 |
| 6 | 14 ÷ 8 = 1 remainder 6 |
| 7 | 8 ÷ 6 = 1 remainder 2 |
| 8 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 92 | 4600 |
| 162 and 161 | 26082 |
| 75 and 31 | 2325 |
| 187 and 121 | 2057 |
| 19 and 136 | 2584 |