Least Common Multiple (LCM) of 180 and 182
The least common multiple (LCM) of 180 and 182 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 180 and 182?
First, calculate the GCD of 180 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 182 = 0 remainder 180 |
| 2 | 182 ÷ 180 = 1 remainder 2 |
| 3 | 180 ÷ 2 = 90 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 149 | 6556 |
| 117 and 85 | 9945 |
| 117 and 30 | 1170 |
| 199 and 14 | 2786 |
| 184 and 45 | 8280 |