Least Common Multiple (LCM) of 106 and 94
The least common multiple (LCM) of 106 and 94 is 4982.
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 106 and 94?
First, calculate the GCD of 106 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 94 = 1 remainder 12 |
| 2 | 94 ÷ 12 = 7 remainder 10 |
| 3 | 12 ÷ 10 = 1 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 172 | 17372 |
| 82 and 149 | 12218 |
| 13 and 107 | 1391 |
| 191 and 164 | 31324 |
| 12 and 14 | 84 |