Least Common Multiple (LCM) of 41 and 182
The least common multiple (LCM) of 41 and 182 is 7462.
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 41 and 182?
First, calculate the GCD of 41 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 182 = 0 remainder 41 |
| 2 | 182 ÷ 41 = 4 remainder 18 |
| 3 | 41 ÷ 18 = 2 remainder 5 |
| 4 | 18 ÷ 5 = 3 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 100 | 15300 |
| 104 and 73 | 7592 |
| 146 and 196 | 14308 |
| 47 and 101 | 4747 |
| 36 and 76 | 684 |