Least Common Multiple (LCM) of 116 and 184
The least common multiple (LCM) of 116 and 184 is 5336.
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 116 and 184?
First, calculate the GCD of 116 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 184 = 0 remainder 116 |
| 2 | 184 ÷ 116 = 1 remainder 68 |
| 3 | 116 ÷ 68 = 1 remainder 48 |
| 4 | 68 ÷ 48 = 1 remainder 20 |
| 5 | 48 ÷ 20 = 2 remainder 8 |
| 6 | 20 ÷ 8 = 2 remainder 4 |
| 7 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 159 | 12243 |
| 80 and 140 | 560 |
| 200 and 107 | 21400 |
| 48 and 171 | 2736 |
| 137 and 183 | 25071 |