Least Common Multiple (LCM) of 45 and 182
The least common multiple (LCM) of 45 and 182 is 8190.
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 45 and 182?
First, calculate the GCD of 45 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 45 ÷ 182 = 0 remainder 45 |
| 2 | 182 ÷ 45 = 4 remainder 2 |
| 3 | 45 ÷ 2 = 22 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 100 | 13300 |
| 38 and 187 | 7106 |
| 44 and 20 | 220 |
| 54 and 107 | 5778 |
| 143 and 122 | 17446 |