Least Common Multiple (LCM) of 188 and 184
The least common multiple (LCM) of 188 and 184 is 8648.
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 188 and 184?
First, calculate the GCD of 188 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 184 = 1 remainder 4 |
| 2 | 184 ÷ 4 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 118 | 10266 |
| 180 and 83 | 14940 |
| 16 and 145 | 2320 |
| 196 and 74 | 7252 |
| 186 and 28 | 2604 |