Least Common Multiple (LCM) of 113 and 28
The least common multiple (LCM) of 113 and 28 is 3164.
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 28?
First, calculate the GCD of 113 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 28 = 4 remainder 1 |
| 2 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 10 | 670 |
| 61 and 123 | 7503 |
| 27 and 81 | 81 |
| 121 and 96 | 11616 |
| 71 and 196 | 13916 |