Least Common Multiple (LCM) of 48 and 33
The least common multiple (LCM) of 48 and 33 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 48 and 33?
First, calculate the GCD of 48 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 33 = 1 remainder 15 |
| 2 | 33 ÷ 15 = 2 remainder 3 |
| 3 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 138 | 20838 |
| 98 and 123 | 12054 |
| 51 and 128 | 6528 |
| 136 and 146 | 9928 |
| 132 and 28 | 924 |