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 |
|---|---|
| 190 and 113 | 21470 |
| 50 and 187 | 9350 |
| 74 and 96 | 3552 |
| 118 and 13 | 1534 |
| 91 and 46 | 4186 |