Least Common Multiple (LCM) of 182 and 94
The least common multiple (LCM) of 182 and 94 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 182 and 94?
First, calculate the GCD of 182 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 94 = 1 remainder 88 |
| 2 | 94 ÷ 88 = 1 remainder 6 |
| 3 | 88 ÷ 6 = 14 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 121 | 3751 |
| 117 and 106 | 12402 |
| 56 and 152 | 1064 |
| 50 and 116 | 2900 |
| 141 and 118 | 16638 |