Least Common Multiple (LCM) of 47 and 19
The least common multiple (LCM) of 47 and 19 is 893.
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 47 and 19?
First, calculate the GCD of 47 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 19 = 2 remainder 9 |
| 2 | 19 ÷ 9 = 2 remainder 1 |
| 3 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 10 | 730 |
| 149 and 56 | 8344 |
| 109 and 58 | 6322 |
| 194 and 33 | 6402 |
| 158 and 158 | 158 |