Least Common Multiple (LCM) of 56 and 131
The least common multiple (LCM) of 56 and 131 is 7336.
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 56 and 131?
First, calculate the GCD of 56 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 131 = 0 remainder 56 |
| 2 | 131 ÷ 56 = 2 remainder 19 |
| 3 | 56 ÷ 19 = 2 remainder 18 |
| 4 | 19 ÷ 18 = 1 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 116 | 116 |
| 104 and 11 | 1144 |
| 76 and 113 | 8588 |
| 179 and 49 | 8771 |
| 25 and 170 | 850 |