Least Common Multiple (LCM) of 184 and 16
The least common multiple (LCM) of 184 and 16 is 368.
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 16?
First, calculate the GCD of 184 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 16 = 11 remainder 8 |
| 2 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 188 | 6956 |
| 105 and 13 | 1365 |
| 120 and 137 | 16440 |
| 177 and 199 | 35223 |
| 168 and 111 | 6216 |