Least Common Multiple (LCM) of 81 and 185
The least common multiple (LCM) of 81 and 185 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 81 and 185?
First, calculate the GCD of 81 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 185 = 0 remainder 81 |
| 2 | 185 ÷ 81 = 2 remainder 23 |
| 3 | 81 ÷ 23 = 3 remainder 12 |
| 4 | 23 ÷ 12 = 1 remainder 11 |
| 5 | 12 ÷ 11 = 1 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 37 | 6216 |
| 144 and 185 | 26640 |
| 83 and 148 | 12284 |
| 51 and 80 | 4080 |
| 25 and 53 | 1325 |