Least Common Multiple (LCM) of 94 and 14
The least common multiple (LCM) of 94 and 14 is 658.
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 14?
First, calculate the GCD of 94 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 14 = 6 remainder 10 |
| 2 | 14 ÷ 10 = 1 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 86 | 3354 |
| 127 and 92 | 11684 |
| 186 and 20 | 1860 |
| 172 and 31 | 5332 |
| 128 and 82 | 5248 |