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 |
|---|---|
| 31 and 159 | 4929 |
| 53 and 101 | 5353 |
| 112 and 43 | 4816 |
| 185 and 188 | 34780 |
| 153 and 175 | 26775 |