Least Common Multiple (LCM) of 110 and 47
The least common multiple (LCM) of 110 and 47 is 5170.
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 47?
First, calculate the GCD of 110 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 47 = 2 remainder 16 |
| 2 | 47 ÷ 16 = 2 remainder 15 |
| 3 | 16 ÷ 15 = 1 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 99 | 1782 |
| 190 and 89 | 16910 |
| 80 and 131 | 10480 |
| 116 and 94 | 5452 |
| 60 and 86 | 2580 |