Least Common Multiple (LCM) of 185 and 195
The least common multiple (LCM) of 185 and 195 is 7215.
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 195?
First, calculate the GCD of 185 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 195 = 0 remainder 185 |
| 2 | 195 ÷ 185 = 1 remainder 10 |
| 3 | 185 ÷ 10 = 18 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 167 | 15865 |
| 10 and 178 | 890 |
| 87 and 190 | 16530 |
| 159 and 183 | 9699 |
| 83 and 30 | 2490 |