Least Common Multiple (LCM) of 184 and 19
The least common multiple (LCM) of 184 and 19 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 184 and 19?
First, calculate the GCD of 184 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 19 = 9 remainder 13 |
| 2 | 19 ÷ 13 = 1 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 171 | 9576 |
| 107 and 93 | 9951 |
| 137 and 95 | 13015 |
| 189 and 12 | 756 |
| 138 and 45 | 2070 |