Least Common Multiple (LCM) of 159 and 111
The least common multiple (LCM) of 159 and 111 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 159 and 111?
First, calculate the GCD of 159 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 111 = 1 remainder 48 |
| 2 | 111 ÷ 48 = 2 remainder 15 |
| 3 | 48 ÷ 15 = 3 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 110 | 330 |
| 57 and 116 | 6612 |
| 187 and 102 | 1122 |
| 46 and 36 | 828 |
| 22 and 12 | 132 |