Least Common Multiple (LCM) of 110 and 145
The least common multiple (LCM) of 110 and 145 is 3190.
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 145?
First, calculate the GCD of 110 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 145 = 0 remainder 110 |
| 2 | 145 ÷ 110 = 1 remainder 35 |
| 3 | 110 ÷ 35 = 3 remainder 5 |
| 4 | 35 ÷ 5 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 67 | 12529 |
| 148 and 39 | 5772 |
| 92 and 89 | 8188 |
| 103 and 198 | 20394 |
| 14 and 84 | 84 |