Least Common Multiple (LCM) of 159 and 110
The least common multiple (LCM) of 159 and 110 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 159 and 110?
First, calculate the GCD of 159 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 110 = 1 remainder 49 |
| 2 | 110 ÷ 49 = 2 remainder 12 |
| 3 | 49 ÷ 12 = 4 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 78 | 1950 |
| 134 and 120 | 8040 |
| 174 and 52 | 4524 |
| 189 and 73 | 13797 |
| 73 and 183 | 13359 |