Least Common Multiple (LCM) of 185 and 183
The least common multiple (LCM) of 185 and 183 is 33855.
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 183?
First, calculate the GCD of 185 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 183 = 1 remainder 2 |
| 2 | 183 ÷ 2 = 91 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 123 | 11931 |
| 136 and 48 | 816 |
| 14 and 88 | 616 |
| 131 and 158 | 20698 |
| 110 and 170 | 1870 |