Least Common Multiple (LCM) of 103 and 33
The least common multiple (LCM) of 103 and 33 is 3399.
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 103 and 33?
First, calculate the GCD of 103 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 33 = 3 remainder 4 |
| 2 | 33 ÷ 4 = 8 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 70 | 700 |
| 45 and 15 | 45 |
| 38 and 17 | 646 |
| 184 and 12 | 552 |
| 163 and 117 | 19071 |