Least Common Multiple (LCM) of 180 and 185
The least common multiple (LCM) of 180 and 185 is 6660.
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 185?
First, calculate the GCD of 180 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 185 = 0 remainder 180 |
| 2 | 185 ÷ 180 = 1 remainder 5 |
| 3 | 180 ÷ 5 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 84 | 1428 |
| 200 and 164 | 8200 |
| 131 and 44 | 5764 |
| 33 and 84 | 924 |
| 113 and 20 | 2260 |