Least Common Multiple (LCM) of 180 and 186
The least common multiple (LCM) of 180 and 186 is 5580.
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 186?
First, calculate the GCD of 180 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 186 = 0 remainder 180 |
| 2 | 186 ÷ 180 = 1 remainder 6 |
| 3 | 180 ÷ 6 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 28 | 3220 |
| 180 and 171 | 3420 |
| 172 and 135 | 23220 |
| 174 and 11 | 1914 |
| 83 and 110 | 9130 |