Least Common Multiple (LCM) of 182 and 45
The least common multiple (LCM) of 182 and 45 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 182 and 45?
First, calculate the GCD of 182 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 45 = 4 remainder 2 |
| 2 | 45 ÷ 2 = 22 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 81 | 8424 |
| 51 and 156 | 2652 |
| 93 and 100 | 9300 |
| 185 and 75 | 2775 |
| 44 and 33 | 132 |