Least Common Multiple (LCM) of 83 and 93
The least common multiple (LCM) of 83 and 93 is 7719.
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 83 and 93?
First, calculate the GCD of 83 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 83 ÷ 93 = 0 remainder 83 |
| 2 | 93 ÷ 83 = 1 remainder 10 |
| 3 | 83 ÷ 10 = 8 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 112 | 2352 |
| 173 and 86 | 14878 |
| 158 and 85 | 13430 |
| 99 and 121 | 1089 |
| 198 and 158 | 15642 |