Least Common Multiple (LCM) of 182 and 123
The least common multiple (LCM) of 182 and 123 is 22386.
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 123?
First, calculate the GCD of 182 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 123 = 1 remainder 59 |
| 2 | 123 ÷ 59 = 2 remainder 5 |
| 3 | 59 ÷ 5 = 11 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 189 | 19656 |
| 133 and 135 | 17955 |
| 108 and 188 | 5076 |
| 75 and 169 | 12675 |
| 142 and 13 | 1846 |