Least Common Multiple (LCM) of 113 and 127
The least common multiple (LCM) of 113 and 127 is 14351.
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 127?
First, calculate the GCD of 113 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 127 = 0 remainder 113 |
| 2 | 127 ÷ 113 = 1 remainder 14 |
| 3 | 113 ÷ 14 = 8 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 22 | 154 |
| 130 and 44 | 2860 |
| 159 and 57 | 3021 |
| 81 and 196 | 15876 |
| 200 and 180 | 1800 |