Least Common Multiple (LCM) of 131 and 128
The least common multiple (LCM) of 131 and 128 is 16768.
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 128?
First, calculate the GCD of 131 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 128 = 1 remainder 3 |
| 2 | 128 ÷ 3 = 42 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 20 | 60 |
| 131 and 94 | 12314 |
| 126 and 151 | 19026 |
| 103 and 77 | 7931 |
| 32 and 62 | 992 |