Least Common Multiple (LCM) of 184 and 106
The least common multiple (LCM) of 184 and 106 is 9752.
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 106?
First, calculate the GCD of 184 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 106 = 1 remainder 78 |
| 2 | 106 ÷ 78 = 1 remainder 28 |
| 3 | 78 ÷ 28 = 2 remainder 22 |
| 4 | 28 ÷ 22 = 1 remainder 6 |
| 5 | 22 ÷ 6 = 3 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 60 | 240 |
| 110 and 199 | 21890 |
| 162 and 174 | 4698 |
| 43 and 200 | 8600 |
| 83 and 75 | 6225 |