Least Common Multiple (LCM) of 183 and 28
The least common multiple (LCM) of 183 and 28 is 5124.
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 28?
First, calculate the GCD of 183 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 28 = 6 remainder 15 |
| 2 | 28 ÷ 15 = 1 remainder 13 |
| 3 | 15 ÷ 13 = 1 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 26 | 2470 |
| 107 and 15 | 1605 |
| 143 and 38 | 5434 |
| 175 and 122 | 21350 |
| 177 and 60 | 3540 |