Least Common Multiple (LCM) of 185 and 81
The least common multiple (LCM) of 185 and 81 is 14985.
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 185 and 81?
First, calculate the GCD of 185 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 81 = 2 remainder 23 |
| 2 | 81 ÷ 23 = 3 remainder 12 |
| 3 | 23 ÷ 12 = 1 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 114 | 16986 |
| 159 and 184 | 29256 |
| 15 and 14 | 210 |
| 85 and 163 | 13855 |
| 175 and 40 | 1400 |