Least Common Multiple (LCM) of 111 and 28
The least common multiple (LCM) of 111 and 28 is 3108.
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 28?
First, calculate the GCD of 111 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 28 = 3 remainder 27 |
| 2 | 28 ÷ 27 = 1 remainder 1 |
| 3 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 131 | 4061 |
| 177 and 192 | 11328 |
| 130 and 94 | 6110 |
| 121 and 135 | 16335 |
| 157 and 120 | 18840 |