Least Common Multiple (LCM) of 33 and 73
The least common multiple (LCM) of 33 and 73 is 2409.
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 33 and 73?
First, calculate the GCD of 33 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 73 = 0 remainder 33 |
| 2 | 73 ÷ 33 = 2 remainder 7 |
| 3 | 33 ÷ 7 = 4 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 114 | 3420 |
| 162 and 103 | 16686 |
| 200 and 156 | 7800 |
| 89 and 142 | 12638 |
| 105 and 43 | 4515 |