Least Common Multiple (LCM) of 184 and 128
The least common multiple (LCM) of 184 and 128 is 2944.
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 128?
First, calculate the GCD of 184 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 128 = 1 remainder 56 |
| 2 | 128 ÷ 56 = 2 remainder 16 |
| 3 | 56 ÷ 16 = 3 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 112 | 1232 |
| 88 and 190 | 8360 |
| 185 and 197 | 36445 |
| 12 and 77 | 924 |
| 182 and 20 | 1820 |