Least Common Multiple (LCM) of 85 and 131
The least common multiple (LCM) of 85 and 131 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 85 and 131?
First, calculate the GCD of 85 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 131 = 0 remainder 85 |
| 2 | 131 ÷ 85 = 1 remainder 46 |
| 3 | 85 ÷ 46 = 1 remainder 39 |
| 4 | 46 ÷ 39 = 1 remainder 7 |
| 5 | 39 ÷ 7 = 5 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 75 | 600 |
| 134 and 119 | 15946 |
| 159 and 68 | 10812 |
| 179 and 19 | 3401 |
| 133 and 191 | 25403 |