Least Common Multiple (LCM) of 182 and 115
The least common multiple (LCM) of 182 and 115 is 20930.
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 182 and 115?
First, calculate the GCD of 182 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 115 = 1 remainder 67 |
| 2 | 115 ÷ 67 = 1 remainder 48 |
| 3 | 67 ÷ 48 = 1 remainder 19 |
| 4 | 48 ÷ 19 = 2 remainder 10 |
| 5 | 19 ÷ 10 = 1 remainder 9 |
| 6 | 10 ÷ 9 = 1 remainder 1 |
| 7 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 33 | 1749 |
| 88 and 109 | 9592 |
| 30 and 125 | 750 |
| 47 and 46 | 2162 |
| 22 and 13 | 286 |