Least Common Multiple (LCM) of 33 and 48
The least common multiple (LCM) of 33 and 48 is 528.
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 48?
First, calculate the GCD of 33 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 48 = 0 remainder 33 |
| 2 | 48 ÷ 33 = 1 remainder 15 |
| 3 | 33 ÷ 15 = 2 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 199 | 35422 |
| 114 and 30 | 570 |
| 155 and 68 | 10540 |
| 199 and 79 | 15721 |
| 186 and 136 | 12648 |