Least Common Multiple (LCM) of 28 and 47
The least common multiple (LCM) of 28 and 47 is 1316.
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 47?
First, calculate the GCD of 28 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 47 = 0 remainder 28 |
| 2 | 47 ÷ 28 = 1 remainder 19 |
| 3 | 28 ÷ 19 = 1 remainder 9 |
| 4 | 19 ÷ 9 = 2 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 81 | 8343 |
| 112 and 57 | 6384 |
| 128 and 200 | 3200 |
| 124 and 188 | 5828 |
| 20 and 195 | 780 |