Least Common Multiple (LCM) of 94 and 182
The least common multiple (LCM) of 94 and 182 is 8554.
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 94 and 182?
First, calculate the GCD of 94 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 182 = 0 remainder 94 |
| 2 | 182 ÷ 94 = 1 remainder 88 |
| 3 | 94 ÷ 88 = 1 remainder 6 |
| 4 | 88 ÷ 6 = 14 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 66 | 12738 |
| 19 and 12 | 228 |
| 132 and 127 | 16764 |
| 180 and 102 | 3060 |
| 71 and 108 | 7668 |