Least Common Multiple (LCM) of 183 and 185
The least common multiple (LCM) of 183 and 185 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 183 and 185?
First, calculate the GCD of 183 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 185 = 0 remainder 183 |
| 2 | 185 ÷ 183 = 1 remainder 2 |
| 3 | 183 ÷ 2 = 91 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 32 | 672 |
| 134 and 162 | 10854 |
| 144 and 134 | 9648 |
| 21 and 176 | 3696 |
| 156 and 145 | 22620 |