Question

What is the lowest common multiple of 19 & 9

Answer 1

LCM of 9 and 19 is the smallest number among all common multiples of 9 and 19.

The first few multiples of 9 and 19 are (9, 18, 27, 36, 45, 54, . . . ) and (19, 38, 57, 76, 95, . . . ) respectively.

There are 3 commonly used methods to find LCM of 9 and 19 - by listing multiples, by division method, and by prime factorization.

To calculate the LCM of 9 and 19 by the division method, we will divide the numbers(9, 19) by their prime factors (preferably common). The product of these divisors gives the LCM of 9 and 19.

In this case, we get:

Then, the LCM would be:

`3\text{ x 3 x 19 = }171`

so that, the correct answer is:

`171`