Least Common Multiple (LCM) of 171 and 28
The least common multiple (LCM) of 171 and 28 is 4788.
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 171 and 28?
First, calculate the GCD of 171 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 28 = 6 remainder 3 |
| 2 | 28 ÷ 3 = 9 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 193 | 21230 |
| 36 and 157 | 5652 |
| 22 and 98 | 1078 |
| 179 and 133 | 23807 |
| 122 and 129 | 15738 |