Least Common Multiple (LCM) of 190 and 184
The least common multiple (LCM) of 190 and 184 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 190 and 184?
First, calculate the GCD of 190 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 184 = 1 remainder 6 |
| 2 | 184 ÷ 6 = 30 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 19 | 912 |
| 85 and 10 | 170 |
| 117 and 125 | 14625 |
| 155 and 37 | 5735 |
| 16 and 57 | 912 |