Least Common Multiple (LCM) of 28 and 184
The least common multiple (LCM) of 28 and 184 is 1288.
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 28 and 184?
First, calculate the GCD of 28 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 184 = 0 remainder 28 |
| 2 | 184 ÷ 28 = 6 remainder 16 |
| 3 | 28 ÷ 16 = 1 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 121 | 20812 |
| 145 and 167 | 24215 |
| 28 and 172 | 1204 |
| 175 and 135 | 4725 |
| 12 and 122 | 732 |