Least Common Multiple (LCM) of 24 and 33
The least common multiple (LCM) of 24 and 33 is 264.
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 24 and 33?
First, calculate the GCD of 24 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 33 = 0 remainder 24 |
| 2 | 33 ÷ 24 = 1 remainder 9 |
| 3 | 24 ÷ 9 = 2 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 101 | 13332 |
| 11 and 94 | 1034 |
| 10 and 172 | 860 |
| 185 and 108 | 19980 |
| 176 and 103 | 18128 |