Least Common Multiple (LCM) of 184 and 190
The least common multiple (LCM) of 184 and 190 is 17480.
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 190?
First, calculate the GCD of 184 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 190 = 0 remainder 184 |
| 2 | 190 ÷ 184 = 1 remainder 6 |
| 3 | 184 ÷ 6 = 30 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 65 | 845 |
| 31 and 121 | 3751 |
| 68 and 31 | 2108 |
| 178 and 56 | 4984 |
| 185 and 71 | 13135 |