Least Common Multiple (LCM) of 83 and 33
The least common multiple (LCM) of 83 and 33 is 2739.
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 33?
First, calculate the GCD of 83 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 83 ÷ 33 = 2 remainder 17 |
| 2 | 33 ÷ 17 = 1 remainder 16 |
| 3 | 17 ÷ 16 = 1 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 99 | 792 |
| 175 and 188 | 32900 |
| 71 and 42 | 2982 |
| 125 and 83 | 10375 |
| 107 and 30 | 3210 |