Least Common Multiple (LCM) of 184 and 160
The least common multiple (LCM) of 184 and 160 is 3680.
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 160?
First, calculate the GCD of 184 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 160 = 1 remainder 24 |
| 2 | 160 ÷ 24 = 6 remainder 16 |
| 3 | 24 ÷ 16 = 1 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 80 | 10160 |
| 100 and 54 | 2700 |
| 168 and 97 | 16296 |
| 130 and 63 | 8190 |
| 126 and 167 | 21042 |