Least Common Multiple (LCM) of 185 and 44
The least common multiple (LCM) of 185 and 44 is 8140.
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 44?
First, calculate the GCD of 185 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 44 = 4 remainder 9 |
| 2 | 44 ÷ 9 = 4 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 195 | 28470 |
| 175 and 197 | 34475 |
| 109 and 115 | 12535 |
| 80 and 160 | 160 |
| 192 and 86 | 8256 |