Least Common Multiple (LCM) of 97 and 184
The least common multiple (LCM) of 97 and 184 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 97 and 184?
First, calculate the GCD of 97 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 184 = 0 remainder 97 |
| 2 | 184 ÷ 97 = 1 remainder 87 |
| 3 | 97 ÷ 87 = 1 remainder 10 |
| 4 | 87 ÷ 10 = 8 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 172 | 8772 |
| 78 and 185 | 14430 |
| 166 and 187 | 31042 |
| 66 and 80 | 2640 |
| 126 and 19 | 2394 |