Least Common Multiple (LCM) of 80 and 33
The least common multiple (LCM) of 80 and 33 is 2640.
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 80 and 33?
First, calculate the GCD of 80 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 33 = 2 remainder 14 |
| 2 | 33 ÷ 14 = 2 remainder 5 |
| 3 | 14 ÷ 5 = 2 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 126 | 3150 |
| 51 and 200 | 10200 |
| 132 and 160 | 5280 |
| 120 and 69 | 2760 |
| 191 and 109 | 20819 |