Least Common Multiple (LCM) of 94 and 82
The least common multiple (LCM) of 94 and 82 is 3854.
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 82?
First, calculate the GCD of 94 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 82 = 1 remainder 12 |
| 2 | 82 ÷ 12 = 6 remainder 10 |
| 3 | 12 ÷ 10 = 1 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 25 | 1075 |
| 111 and 137 | 15207 |
| 108 and 12 | 108 |
| 167 and 164 | 27388 |
| 58 and 102 | 2958 |