Least Common Multiple (LCM) of 182 and 180
The least common multiple (LCM) of 182 and 180 is 16380.
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 182 and 180?
First, calculate the GCD of 182 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 180 = 1 remainder 2 |
| 2 | 180 ÷ 2 = 90 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 120 | 2760 |
| 108 and 42 | 756 |
| 52 and 91 | 364 |
| 119 and 158 | 18802 |
| 104 and 123 | 12792 |