Least Common Multiple (LCM) of 110 and 41
The least common multiple (LCM) of 110 and 41 is 4510.
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 41?
First, calculate the GCD of 110 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 41 = 2 remainder 28 |
| 2 | 41 ÷ 28 = 1 remainder 13 |
| 3 | 28 ÷ 13 = 2 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 86 | 13846 |
| 169 and 185 | 31265 |
| 128 and 82 | 5248 |
| 184 and 116 | 5336 |
| 110 and 131 | 14410 |