Least Common Multiple (LCM) of 184 and 99
The least common multiple (LCM) of 184 and 99 is 18216.
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 99?
First, calculate the GCD of 184 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 99 = 1 remainder 85 |
| 2 | 99 ÷ 85 = 1 remainder 14 |
| 3 | 85 ÷ 14 = 6 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 81 | 810 |
| 136 and 122 | 8296 |
| 35 and 60 | 420 |
| 45 and 12 | 180 |
| 82 and 126 | 5166 |