Least Common Multiple (LCM) of 113 and 56
The least common multiple (LCM) of 113 and 56 is 6328.
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 56?
First, calculate the GCD of 113 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 56 = 2 remainder 1 |
| 2 | 56 ÷ 1 = 56 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 145 | 1740 |
| 197 and 39 | 7683 |
| 127 and 71 | 9017 |
| 178 and 29 | 5162 |
| 109 and 193 | 21037 |