Least Common Multiple (LCM) of 106 and 184
The least common multiple (LCM) of 106 and 184 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 106 and 184?
First, calculate the GCD of 106 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 184 = 0 remainder 106 |
| 2 | 184 ÷ 106 = 1 remainder 78 |
| 3 | 106 ÷ 78 = 1 remainder 28 |
| 4 | 78 ÷ 28 = 2 remainder 22 |
| 5 | 28 ÷ 22 = 1 remainder 6 |
| 6 | 22 ÷ 6 = 3 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 93 | 12090 |
| 109 and 26 | 2834 |
| 74 and 132 | 4884 |
| 177 and 112 | 19824 |
| 26 and 147 | 3822 |