Least Common Multiple (LCM) of 115 and 99
The least common multiple (LCM) of 115 and 99 is 11385.
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 115 and 99?
First, calculate the GCD of 115 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 99 = 1 remainder 16 |
| 2 | 99 ÷ 16 = 6 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 120 | 1920 |
| 130 and 42 | 2730 |
| 142 and 30 | 2130 |
| 48 and 49 | 2352 |
| 29 and 24 | 696 |