Least Common Multiple (LCM) of 94 and 83
The least common multiple (LCM) of 94 and 83 is 7802.
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 83?
First, calculate the GCD of 94 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 83 = 1 remainder 11 |
| 2 | 83 ÷ 11 = 7 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 163 | 23961 |
| 161 and 166 | 26726 |
| 115 and 185 | 4255 |
| 193 and 199 | 38407 |
| 48 and 115 | 5520 |