Least Common Multiple (LCM) of 185 and 128
The least common multiple (LCM) of 185 and 128 is 23680.
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 185 and 128?
First, calculate the GCD of 185 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 128 = 1 remainder 57 |
| 2 | 128 ÷ 57 = 2 remainder 14 |
| 3 | 57 ÷ 14 = 4 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 120 | 18840 |
| 144 and 181 | 26064 |
| 186 and 67 | 12462 |
| 49 and 41 | 2009 |
| 54 and 127 | 6858 |