Least Common Multiple (LCM) of 28 and 185
The least common multiple (LCM) of 28 and 185 is 5180.
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 185?
First, calculate the GCD of 28 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 185 = 0 remainder 28 |
| 2 | 185 ÷ 28 = 6 remainder 17 |
| 3 | 28 ÷ 17 = 1 remainder 11 |
| 4 | 17 ÷ 11 = 1 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 73 | 13286 |
| 49 and 77 | 539 |
| 116 and 60 | 1740 |
| 122 and 106 | 6466 |
| 144 and 83 | 11952 |