Least Common Multiple (LCM) of 110 and 56
The least common multiple (LCM) of 110 and 56 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 110 and 56?
First, calculate the GCD of 110 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 56 = 1 remainder 54 |
| 2 | 56 ÷ 54 = 1 remainder 2 |
| 3 | 54 ÷ 2 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 17 | 561 |
| 147 and 26 | 3822 |
| 157 and 112 | 17584 |
| 139 and 144 | 20016 |
| 131 and 128 | 16768 |