Least Common Multiple (LCM) of 182 and 192
The least common multiple (LCM) of 182 and 192 is 17472.
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 192?
First, calculate the GCD of 182 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 192 = 0 remainder 182 |
| 2 | 192 ÷ 182 = 1 remainder 10 |
| 3 | 182 ÷ 10 = 18 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 185 | 27195 |
| 159 and 135 | 7155 |
| 27 and 102 | 918 |
| 152 and 74 | 5624 |
| 146 and 42 | 3066 |