Least Common Multiple (LCM) of 131 and 81
The least common multiple (LCM) of 131 and 81 is 10611.
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 81?
First, calculate the GCD of 131 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 81 = 1 remainder 50 |
| 2 | 81 ÷ 50 = 1 remainder 31 |
| 3 | 50 ÷ 31 = 1 remainder 19 |
| 4 | 31 ÷ 19 = 1 remainder 12 |
| 5 | 19 ÷ 12 = 1 remainder 7 |
| 6 | 12 ÷ 7 = 1 remainder 5 |
| 7 | 7 ÷ 5 = 1 remainder 2 |
| 8 | 5 ÷ 2 = 2 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 130 | 3770 |
| 146 and 12 | 876 |
| 53 and 83 | 4399 |
| 129 and 10 | 1290 |
| 198 and 106 | 10494 |