Least Common Multiple (LCM) of 131 and 80
The least common multiple (LCM) of 131 and 80 is 10480.
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 80?
First, calculate the GCD of 131 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 80 = 1 remainder 51 |
| 2 | 80 ÷ 51 = 1 remainder 29 |
| 3 | 51 ÷ 29 = 1 remainder 22 |
| 4 | 29 ÷ 22 = 1 remainder 7 |
| 5 | 22 ÷ 7 = 3 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 197 | 7486 |
| 146 and 145 | 21170 |
| 163 and 196 | 31948 |
| 131 and 98 | 12838 |
| 167 and 164 | 27388 |