Least Common Multiple (LCM) of 94 and 108
The least common multiple (LCM) of 94 and 108 is 5076.
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 108?
First, calculate the GCD of 94 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 108 = 0 remainder 94 |
| 2 | 108 ÷ 94 = 1 remainder 14 |
| 3 | 94 ÷ 14 = 6 remainder 10 |
| 4 | 14 ÷ 10 = 1 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 180 | 4680 |
| 171 and 45 | 855 |
| 134 and 27 | 3618 |
| 157 and 121 | 18997 |
| 142 and 178 | 12638 |