Least Common Multiple (LCM) of 111 and 159
The least common multiple (LCM) of 111 and 159 is 5883.
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 111 and 159?
First, calculate the GCD of 111 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 159 = 0 remainder 111 |
| 2 | 159 ÷ 111 = 1 remainder 48 |
| 3 | 111 ÷ 48 = 2 remainder 15 |
| 4 | 48 ÷ 15 = 3 remainder 3 |
| 5 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 105 | 13440 |
| 30 and 192 | 960 |
| 196 and 179 | 35084 |
| 187 and 13 | 2431 |
| 175 and 11 | 1925 |