Least Common Multiple (LCM) of 56 and 110
The least common multiple (LCM) of 56 and 110 is 3080.
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 56 and 110?
First, calculate the GCD of 56 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 110 = 0 remainder 56 |
| 2 | 110 ÷ 56 = 1 remainder 54 |
| 3 | 56 ÷ 54 = 1 remainder 2 |
| 4 | 54 ÷ 2 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 106 | 5512 |
| 141 and 91 | 12831 |
| 60 and 198 | 1980 |
| 156 and 186 | 4836 |
| 22 and 166 | 1826 |