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 |
|---|---|
| 137 and 184 | 25208 |
| 128 and 42 | 2688 |
| 112 and 123 | 13776 |
| 142 and 55 | 7810 |
| 180 and 159 | 9540 |