Least Common Multiple (LCM) of 184 and 97
The least common multiple (LCM) of 184 and 97 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 97?
First, calculate the GCD of 184 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 97 = 1 remainder 87 |
| 2 | 97 ÷ 87 = 1 remainder 10 |
| 3 | 87 ÷ 10 = 8 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 18 | 1746 |
| 111 and 117 | 4329 |
| 122 and 69 | 8418 |
| 33 and 151 | 4983 |
| 117 and 189 | 2457 |