Least Common Multiple of 8836 and 8844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8836 and 8844 the smallest integer that is 19536396 that is divisible by both numbers.

Least Common Multiple (LCM) of 8836 and 8844 is 19536396.

LCM(8836,8844) = 19536396

LCM of 8836 and 8844

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8836 and 8844

LCM of 8836 and 8844 is 19536396

Least common multiple can be found by multiplying the highest exponent prime factors of 8836 and 8844. First we will calculate the prime factors of 8836 and 8844.

Prime Factorization of 8836


2 8836
2 4418
47 2209
47 47
1

Prime factors of 8836 are 2,47. Prime factorization of 8836 in exponential form is:

8836 = 22×472

Prime Factorization of 8844


2 8844
2 4422
3 2211
11 737
67 67
1

Prime factors of 8844 are 2, 3, 11,67. Prime factorization of 8844 in exponential form is:

8844 = 22×31×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8836 and 8844.

LCM(8836,8844) = 22×31×111×472×671
LCM(8836,8844) = 19536396

Factors of 8836

List of positive integer factors of 8836 that divides 8836 without a remainder.

1, 2, 4, 47, 94, 188, 2209, 4418, 8836

Factors of 8844

List of positive integer factors of 8844 that divides 8844 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 67, 132, 134, 201, 268, 402, 737, 804, 1474, 2211, 2948, 4422, 8844

Least Common Multiple of 8836 and 8844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8836 and 8844, than apply into the LCM equation.

GCF(8836,8844) = 4
LCM(8836,8844) = ( 8836 × 8844) / 4
LCM(8836,8844) = 78145584 / 4
LCM(8836,8844) = 19536396

Properties of LCM 8836 and 8844

(i) The LCM of 8844 and 8836 is associative

LCM of 8836 and 8844 = LCM of 8844 and 8836

Related Least Common Multiples of 8836

Related Least Common Multiples of 8844

Frequently Asked Questions on LCM of 8836 and 8844

1. What is the LCM of 8836 and 8844?

Answer: LCM of 8836 and 8844 is 19536396.

2. What are the Factors of 8836?

Answer: Factors of 8836 are 1, 2, 4, 47, 94, 188, 2209, 4418, 8836. There are 9 integers that are factors of 8836. The greatest factor of 8836 is 8836.

3. What are the Factors of 8844?

Answer: Factors of 8844 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 67, 132, 134, 201, 268, 402, 737, 804, 1474, 2211, 2948, 4422, 8844. There are 24 integers that are factors of 8844. The greatest factor of 8844 is 8844.

4. How to Find the LCM of 8836 and 8844?

Answer:

Least Common Multiple of 8836 and 8844 = 19536396

Step 1: Find the prime factorization of 8836

8836 = 2 x 2 x 47 x 47

Step 2: Find the prime factorization of 8844

8844 = 2 x 2 x 3 x 11 x 67

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 19536396 = 2 x 2 x 3 x 11 x 47 x 47 x 67

Step 4: Therefore, the least common multiple of 8836 and 8844 is 19536396.