Least Common Multiple (LCM) of 182 and 195
The least common multiple (LCM) of 182 and 195 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 182 and 195?
First, calculate the GCD of 182 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 195 = 0 remainder 182 |
| 2 | 195 ÷ 182 = 1 remainder 13 |
| 3 | 182 ÷ 13 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 172 | 4816 |
| 86 and 40 | 1720 |
| 168 and 102 | 2856 |
| 118 and 170 | 10030 |
| 106 and 59 | 6254 |