Least Common Multiple (LCM) of 99 and 26
The least common multiple (LCM) of 99 and 26 is 2574.
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 26?
First, calculate the GCD of 99 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 26 = 3 remainder 21 |
| 2 | 26 ÷ 21 = 1 remainder 5 |
| 3 | 21 ÷ 5 = 4 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 156 | 29796 |
| 120 and 149 | 17880 |
| 16 and 72 | 144 |
| 18 and 199 | 3582 |
| 51 and 165 | 2805 |