Least Common Multiple (LCM) of 182 and 103
The least common multiple (LCM) of 182 and 103 is 18746.
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 103?
First, calculate the GCD of 182 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 103 = 1 remainder 79 |
| 2 | 103 ÷ 79 = 1 remainder 24 |
| 3 | 79 ÷ 24 = 3 remainder 7 |
| 4 | 24 ÷ 7 = 3 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 120 | 240 |
| 182 and 140 | 1820 |
| 30 and 101 | 3030 |
| 170 and 177 | 30090 |
| 165 and 71 | 11715 |