Least Common Multiple (LCM) of 19 and 184
The least common multiple (LCM) of 19 and 184 is 3496.
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 19 and 184?
First, calculate the GCD of 19 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 19 ÷ 184 = 0 remainder 19 |
| 2 | 184 ÷ 19 = 9 remainder 13 |
| 3 | 19 ÷ 13 = 1 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 108 | 8316 |
| 154 and 136 | 10472 |
| 160 and 16 | 160 |
| 84 and 25 | 2100 |
| 180 and 183 | 10980 |