Least Common Multiple (LCM) of 184 and 32
The least common multiple (LCM) of 184 and 32 is 736.
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 32?
First, calculate the GCD of 184 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 32 = 5 remainder 24 |
| 2 | 32 ÷ 24 = 1 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 55 | 715 |
| 75 and 184 | 13800 |
| 56 and 193 | 10808 |
| 149 and 190 | 28310 |
| 192 and 149 | 28608 |