Least Common Multiple (LCM) of 45 and 183
The least common multiple (LCM) of 45 and 183 is 2745.
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 45 and 183?
First, calculate the GCD of 45 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 45 ÷ 183 = 0 remainder 45 |
| 2 | 183 ÷ 45 = 4 remainder 3 |
| 3 | 45 ÷ 3 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 62 | 10230 |
| 66 and 116 | 3828 |
| 144 and 74 | 5328 |
| 109 and 84 | 9156 |
| 30 and 157 | 4710 |