Least Common Multiple (LCM) of 184 and 197
The least common multiple (LCM) of 184 and 197 is 36248.
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 197?
First, calculate the GCD of 184 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 197 = 0 remainder 184 |
| 2 | 197 ÷ 184 = 1 remainder 13 |
| 3 | 184 ÷ 13 = 14 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 189 | 11529 |
| 14 and 69 | 966 |
| 132 and 45 | 1980 |
| 86 and 96 | 4128 |
| 183 and 104 | 19032 |