Least Common Multiple (LCM) of 180 and 83
The least common multiple (LCM) of 180 and 83 is 14940.
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 83?
First, calculate the GCD of 180 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 83 = 2 remainder 14 |
| 2 | 83 ÷ 14 = 5 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 27 | 837 |
| 181 and 57 | 10317 |
| 86 and 192 | 8256 |
| 34 and 48 | 816 |
| 126 and 132 | 2772 |