Least Common Multiple (LCM) of 113 and 110
The least common multiple (LCM) of 113 and 110 is 12430.
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 110?
First, calculate the GCD of 113 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 110 = 1 remainder 3 |
| 2 | 110 ÷ 3 = 36 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 27 | 1728 |
| 191 and 60 | 11460 |
| 198 and 59 | 11682 |
| 146 and 51 | 7446 |
| 180 and 129 | 7740 |