Least Common Multiple (LCM) of 184 and 28
The least common multiple (LCM) of 184 and 28 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 184 and 28?
First, calculate the GCD of 184 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 28 = 6 remainder 16 |
| 2 | 28 ÷ 16 = 1 remainder 12 |
| 3 | 16 ÷ 12 = 1 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 137 | 19180 |
| 23 and 117 | 2691 |
| 131 and 15 | 1965 |
| 181 and 120 | 21720 |
| 197 and 176 | 34672 |