Least Common Multiple (LCM) of 24 and 99
The least common multiple (LCM) of 24 and 99 is 792.
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 99?
First, calculate the GCD of 24 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 99 = 0 remainder 24 |
| 2 | 99 ÷ 24 = 4 remainder 3 |
| 3 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 71 | 9017 |
| 169 and 135 | 22815 |
| 41 and 113 | 4633 |
| 28 and 175 | 700 |
| 96 and 81 | 2592 |