Least Common Multiple (LCM) of 94 and 131
The least common multiple (LCM) of 94 and 131 is 12314.
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 131?
First, calculate the GCD of 94 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 131 = 0 remainder 94 |
| 2 | 131 ÷ 94 = 1 remainder 37 |
| 3 | 94 ÷ 37 = 2 remainder 20 |
| 4 | 37 ÷ 20 = 1 remainder 17 |
| 5 | 20 ÷ 17 = 1 remainder 3 |
| 6 | 17 ÷ 3 = 5 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 186 | 7440 |
| 195 and 61 | 11895 |
| 193 and 173 | 33389 |
| 189 and 13 | 2457 |
| 31 and 198 | 6138 |