Least Common Multiple (LCM) of 99 and 23
The least common multiple (LCM) of 99 and 23 is 2277.
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 23?
First, calculate the GCD of 99 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 23 = 4 remainder 7 |
| 2 | 23 ÷ 7 = 3 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 101 | 5959 |
| 66 and 27 | 594 |
| 131 and 62 | 8122 |
| 101 and 33 | 3333 |
| 165 and 43 | 7095 |