Least Common Multiple (LCM) of 94 and 66
The least common multiple (LCM) of 94 and 66 is 3102.
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 66?
First, calculate the GCD of 94 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 66 = 1 remainder 28 |
| 2 | 66 ÷ 28 = 2 remainder 10 |
| 3 | 28 ÷ 10 = 2 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 75 | 11175 |
| 104 and 10 | 520 |
| 97 and 86 | 8342 |
| 197 and 56 | 11032 |
| 159 and 69 | 3657 |