Least Common Multiple (LCM) of 184 and 180
The least common multiple (LCM) of 184 and 180 is 8280.
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 180?
First, calculate the GCD of 184 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 180 = 1 remainder 4 |
| 2 | 180 ÷ 4 = 45 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 113 | 16837 |
| 64 and 145 | 9280 |
| 161 and 129 | 20769 |
| 77 and 49 | 539 |
| 157 and 70 | 10990 |