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 |
|---|---|
| 135 and 23 | 3105 |
| 29 and 53 | 1537 |
| 101 and 156 | 15756 |
| 113 and 142 | 16046 |
| 143 and 51 | 7293 |