Least Common Multiple (LCM) of 131 and 194
The least common multiple (LCM) of 131 and 194 is 25414.
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 194?
First, calculate the GCD of 131 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 194 = 0 remainder 131 |
| 2 | 194 ÷ 131 = 1 remainder 63 |
| 3 | 131 ÷ 63 = 2 remainder 5 |
| 4 | 63 ÷ 5 = 12 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 101 | 18988 |
| 40 and 191 | 7640 |
| 104 and 137 | 14248 |
| 83 and 114 | 9462 |
| 47 and 103 | 4841 |