Least Common Multiple (LCM) of 131 and 163
The least common multiple (LCM) of 131 and 163 is 21353.
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 163?
First, calculate the GCD of 131 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 163 = 0 remainder 131 |
| 2 | 163 ÷ 131 = 1 remainder 32 |
| 3 | 131 ÷ 32 = 4 remainder 3 |
| 4 | 32 ÷ 3 = 10 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 137 | 11371 |
| 54 and 76 | 2052 |
| 65 and 59 | 3835 |
| 110 and 170 | 1870 |
| 188 and 142 | 13348 |