Least Common Multiple (LCM) of 59 and 47
The least common multiple (LCM) of 59 and 47 is 2773.
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 59 and 47?
First, calculate the GCD of 59 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 47 = 1 remainder 12 |
| 2 | 47 ÷ 12 = 3 remainder 11 |
| 3 | 12 ÷ 11 = 1 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 67 | 1742 |
| 175 and 52 | 9100 |
| 178 and 97 | 17266 |
| 45 and 80 | 720 |
| 195 and 178 | 34710 |