Least Common Multiple (LCM) of 194 and 131
The least common multiple (LCM) of 194 and 131 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 194 and 131?
First, calculate the GCD of 194 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 131 = 1 remainder 63 |
| 2 | 131 ÷ 63 = 2 remainder 5 |
| 3 | 63 ÷ 5 = 12 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 46 | 1242 |
| 190 and 110 | 2090 |
| 86 and 107 | 9202 |
| 11 and 164 | 1804 |
| 87 and 185 | 16095 |