Least Common Multiple (LCM) of 131 and 94
The least common multiple (LCM) of 131 and 94 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 131 and 94?
First, calculate the GCD of 131 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 94 = 1 remainder 37 |
| 2 | 94 ÷ 37 = 2 remainder 20 |
| 3 | 37 ÷ 20 = 1 remainder 17 |
| 4 | 20 ÷ 17 = 1 remainder 3 |
| 5 | 17 ÷ 3 = 5 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 91 | 2184 |
| 81 and 182 | 14742 |
| 126 and 59 | 7434 |
| 192 and 188 | 9024 |
| 84 and 175 | 2100 |