Least Common Multiple (LCM) of 182 and 96
The least common multiple (LCM) of 182 and 96 is 8736.
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 96?
First, calculate the GCD of 182 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 96 = 1 remainder 86 |
| 2 | 96 ÷ 86 = 1 remainder 10 |
| 3 | 86 ÷ 10 = 8 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 37 | 6586 |
| 114 and 185 | 21090 |
| 195 and 84 | 5460 |
| 132 and 27 | 1188 |
| 87 and 174 | 174 |