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 |
|---|---|
| 123 and 34 | 4182 |
| 52 and 73 | 3796 |
| 119 and 85 | 595 |
| 149 and 123 | 18327 |
| 114 and 73 | 8322 |