Least Common Multiple (LCM) of 185 and 45
The least common multiple (LCM) of 185 and 45 is 1665.
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 45?
First, calculate the GCD of 185 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 45 = 4 remainder 5 |
| 2 | 45 ÷ 5 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 39 | 195 |
| 109 and 75 | 8175 |
| 107 and 126 | 13482 |
| 48 and 145 | 6960 |
| 143 and 160 | 22880 |