Least Common Multiple (LCM) of 111 and 27
The least common multiple (LCM) of 111 and 27 is 999.
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 27?
First, calculate the GCD of 111 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 27 = 4 remainder 3 |
| 2 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 65 | 65 |
| 135 and 156 | 7020 |
| 42 and 187 | 7854 |
| 96 and 113 | 10848 |
| 194 and 28 | 2716 |