Least Common Multiple (LCM) of 113 and 99
The least common multiple (LCM) of 113 and 99 is 11187.
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 113 and 99?
First, calculate the GCD of 113 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 99 = 1 remainder 14 |
| 2 | 99 ÷ 14 = 7 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 105 | 13020 |
| 43 and 171 | 7353 |
| 48 and 128 | 384 |
| 147 and 53 | 7791 |
| 116 and 34 | 1972 |