Least Common Multiple (LCM) of 28 and 181
The least common multiple (LCM) of 28 and 181 is 5068.
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 28 and 181?
First, calculate the GCD of 28 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 181 = 0 remainder 28 |
| 2 | 181 ÷ 28 = 6 remainder 13 |
| 3 | 28 ÷ 13 = 2 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 190 | 950 |
| 166 and 96 | 7968 |
| 70 and 146 | 5110 |
| 108 and 199 | 21492 |
| 10 and 176 | 880 |