Least Common Multiple (LCM) of 99 and 48
The least common multiple (LCM) of 99 and 48 is 1584.
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 99 and 48?
First, calculate the GCD of 99 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 48 = 2 remainder 3 |
| 2 | 48 ÷ 3 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 84 | 3612 |
| 187 and 180 | 33660 |
| 191 and 87 | 16617 |
| 170 and 69 | 11730 |
| 22 and 33 | 66 |