Least Common Multiple (LCM) of 68 and 33
The least common multiple (LCM) of 68 and 33 is 2244.
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 68 and 33?
First, calculate the GCD of 68 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 33 = 2 remainder 2 |
| 2 | 33 ÷ 2 = 16 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 43 | 5504 |
| 180 and 17 | 3060 |
| 163 and 134 | 21842 |
| 99 and 178 | 17622 |
| 196 and 49 | 196 |