Least Common Multiple (LCM) of 94 and 110
The least common multiple (LCM) of 94 and 110 is 5170.
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 110?
First, calculate the GCD of 94 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 110 = 0 remainder 94 |
| 2 | 110 ÷ 94 = 1 remainder 16 |
| 3 | 94 ÷ 16 = 5 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 84 | 7476 |
| 119 and 69 | 8211 |
| 159 and 82 | 13038 |
| 21 and 78 | 546 |
| 128 and 150 | 9600 |