Least Common Multiple (LCM) of 181 and 28
The least common multiple (LCM) of 181 and 28 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 181 and 28?
First, calculate the GCD of 181 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 28 = 6 remainder 13 |
| 2 | 28 ÷ 13 = 2 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 118 | 18054 |
| 180 and 176 | 7920 |
| 174 and 78 | 2262 |
| 116 and 142 | 8236 |
| 135 and 13 | 1755 |