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 |
|---|---|
| 194 and 90 | 8730 |
| 164 and 60 | 2460 |
| 124 and 62 | 124 |
| 131 and 18 | 2358 |
| 19 and 149 | 2831 |