Least Common Multiple (LCM) of 184 and 116
The least common multiple (LCM) of 184 and 116 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 184 and 116?
First, calculate the GCD of 184 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 116 = 1 remainder 68 |
| 2 | 116 ÷ 68 = 1 remainder 48 |
| 3 | 68 ÷ 48 = 1 remainder 20 |
| 4 | 48 ÷ 20 = 2 remainder 8 |
| 5 | 20 ÷ 8 = 2 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 123 | 13530 |
| 98 and 50 | 2450 |
| 170 and 55 | 1870 |
| 39 and 51 | 663 |
| 107 and 117 | 12519 |