Least Common Multiple (LCM) of 195 and 182
The least common multiple (LCM) of 195 and 182 is 2730.
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 195 and 182?
First, calculate the GCD of 195 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 182 = 1 remainder 13 |
| 2 | 182 ÷ 13 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 109 | 19729 |
| 173 and 17 | 2941 |
| 14 and 123 | 1722 |
| 188 and 162 | 15228 |
| 107 and 15 | 1605 |