Least Common Multiple (LCM) of 185 and 176
The least common multiple (LCM) of 185 and 176 is 32560.
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 176?
First, calculate the GCD of 185 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 176 = 1 remainder 9 |
| 2 | 176 ÷ 9 = 19 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 183 | 25986 |
| 195 and 74 | 14430 |
| 123 and 58 | 7134 |
| 110 and 183 | 20130 |
| 11 and 12 | 132 |