Least Common Multiple (LCM) of 184 and 194
The least common multiple (LCM) of 184 and 194 is 17848.
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 194?
First, calculate the GCD of 184 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 194 = 0 remainder 184 |
| 2 | 194 ÷ 184 = 1 remainder 10 |
| 3 | 184 ÷ 10 = 18 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 119 | 12733 |
| 87 and 124 | 10788 |
| 125 and 101 | 12625 |
| 122 and 11 | 1342 |
| 102 and 67 | 6834 |