Least Common Multiple (LCM) of 110 and 159
The least common multiple (LCM) of 110 and 159 is 17490.
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 159?
First, calculate the GCD of 110 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 159 = 0 remainder 110 |
| 2 | 159 ÷ 110 = 1 remainder 49 |
| 3 | 110 ÷ 49 = 2 remainder 12 |
| 4 | 49 ÷ 12 = 4 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 34 | 5814 |
| 127 and 74 | 9398 |
| 42 and 153 | 2142 |
| 47 and 165 | 7755 |
| 199 and 57 | 11343 |