Question

find the lcm of 19,36​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The lcm of 19 and 36​ is 684.

Step-by-step explanation:

Given: The numbers are 19 and 36​.

We have to find the lcm of the above numbers.

• As we know, the lcm is the least number, which is exactly divisible by two or more numbers.

We are solving in the following way:

We have,

The numbers are 19 and 36​.

First, we will find all prime factors for each number.

Prime Factorization of 19 is:

19 is prime  => $19^1$

Prime Factorization of 36 is:

$2 \times2 \times 3 \times 3 => 2^2 \times 3^2$

For each prime factor, we will find where it occurs most often as a factor and write it that many times in a new list.

The new list is:

2, 2, 3, 3, 19

Multiplying these factors together to find the LCM:

LCM = 2 x 2 x 3 x 3 x 19 = 684

Therefore,

LCM(19, 36) = 684