Least Common Multiple (LCM) of 115 and 184
The least common multiple (LCM) of 115 and 184 is 920.
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 115 and 184?
First, calculate the GCD of 115 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 184 = 0 remainder 115 |
| 2 | 184 ÷ 115 = 1 remainder 69 |
| 3 | 115 ÷ 69 = 1 remainder 46 |
| 4 | 69 ÷ 46 = 1 remainder 23 |
| 5 | 46 ÷ 23 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 118 | 7080 |
| 31 and 191 | 5921 |
| 195 and 11 | 2145 |
| 177 and 88 | 15576 |
| 21 and 67 | 1407 |