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 |
|---|---|
| 195 and 87 | 5655 |
| 191 and 95 | 18145 |
| 120 and 119 | 14280 |
| 61 and 176 | 10736 |
| 181 and 153 | 27693 |