Least Common Multiple (LCM) of 94 and 176
The least common multiple (LCM) of 94 and 176 is 8272.
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 176?
First, calculate the GCD of 94 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 176 = 0 remainder 94 |
| 2 | 176 ÷ 94 = 1 remainder 82 |
| 3 | 94 ÷ 82 = 1 remainder 12 |
| 4 | 82 ÷ 12 = 6 remainder 10 |
| 5 | 12 ÷ 10 = 1 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 199 | 23880 |
| 98 and 132 | 6468 |
| 191 and 58 | 11078 |
| 38 and 96 | 1824 |
| 74 and 78 | 2886 |