Least Common Multiple (LCM) of 94 and 178
The least common multiple (LCM) of 94 and 178 is 8366.
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 178?
First, calculate the GCD of 94 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 178 = 0 remainder 94 |
| 2 | 178 ÷ 94 = 1 remainder 84 |
| 3 | 94 ÷ 84 = 1 remainder 10 |
| 4 | 84 ÷ 10 = 8 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 14 | 1834 |
| 128 and 134 | 8576 |
| 180 and 102 | 3060 |
| 186 and 24 | 744 |
| 47 and 70 | 3290 |