Least Common Multiple (LCM) of 131 and 85
The least common multiple (LCM) of 131 and 85 is 11135.
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 85?
First, calculate the GCD of 131 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 85 = 1 remainder 46 |
| 2 | 85 ÷ 46 = 1 remainder 39 |
| 3 | 46 ÷ 39 = 1 remainder 7 |
| 4 | 39 ÷ 7 = 5 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 176 | 704 |
| 141 and 89 | 12549 |
| 103 and 113 | 11639 |
| 155 and 197 | 30535 |
| 108 and 99 | 1188 |