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 |
|---|---|
| 173 and 61 | 10553 |
| 100 and 53 | 5300 |
| 148 and 116 | 4292 |
| 20 and 131 | 2620 |
| 189 and 15 | 945 |