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 |
|---|---|
| 123 and 162 | 6642 |
| 106 and 113 | 11978 |
| 71 and 151 | 10721 |
| 172 and 119 | 20468 |
| 112 and 177 | 19824 |