Least Common Multiple (LCM) of 97 and 47
The least common multiple (LCM) of 97 and 47 is 4559.
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 97 and 47?
First, calculate the GCD of 97 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 47 = 2 remainder 3 |
| 2 | 47 ÷ 3 = 15 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 13 | 923 |
| 45 and 64 | 2880 |
| 173 and 28 | 4844 |
| 100 and 117 | 11700 |
| 13 and 100 | 1300 |