Least Common Multiple (LCM) of 184 and 66
The least common multiple (LCM) of 184 and 66 is 6072.
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 184 and 66?
First, calculate the GCD of 184 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 66 = 2 remainder 52 |
| 2 | 66 ÷ 52 = 1 remainder 14 |
| 3 | 52 ÷ 14 = 3 remainder 10 |
| 4 | 14 ÷ 10 = 1 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 123 | 9717 |
| 104 and 57 | 5928 |
| 149 and 170 | 25330 |
| 159 and 181 | 28779 |
| 85 and 81 | 6885 |