Least Common Multiple of 8828 and 8836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8828 and 8836 the smallest integer that is 19501052 that is divisible by both numbers.

Least Common Multiple (LCM) of 8828 and 8836 is 19501052.

LCM(8828,8836) = 19501052

LCM of 8828 and 8836

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

LCM of:
and

Least Common Multiple of 8828 and 8836

LCM of 8828 and 8836 is 19501052

Least common multiple can be found by multiplying the highest exponent prime factors of 8828 and 8836. First we will calculate the prime factors of 8828 and 8836.

Prime Factorization of 8828


2 8828
2 4414
2207 2207
1

Prime factors of 8828 are 2,2207. Prime factorization of 8828 in exponential form is:

8828 = 22×22071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8828 and 8836.

LCM(8828,8836) = 22×472×22071
LCM(8828,8836) = 19501052

Factors of 8828

List of positive integer factors of 8828 that divides 8828 without a remainder.

1, 2, 4, 2207, 4414, 8828

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

Least Common Multiple of 8828 and 8836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8828 and 8836, than apply into the LCM equation.

GCF(8828,8836) = 4
LCM(8828,8836) = ( 8828 × 8836) / 4
LCM(8828,8836) = 78004208 / 4
LCM(8828,8836) = 19501052

Properties of LCM 8828 and 8836

(i) The LCM of 8836 and 8828 is associative

LCM of 8828 and 8836 = LCM of 8836 and 8828

Related Least Common Multiples of 8828

Related Least Common Multiples of 8836

Frequently Asked Questions on LCM of 8828 and 8836

1. What is the LCM of 8828 and 8836?

Answer: LCM of 8828 and 8836 is 19501052.

2. What are the Factors of 8828?

Answer: Factors of 8828 are 1, 2, 4, 2207, 4414, 8828. There are 6 integers that are factors of 8828. The greatest factor of 8828 is 8828.

3. 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.

4. How to Find the LCM of 8828 and 8836?

Answer:

Least Common Multiple of 8828 and 8836 = 19501052

Step 1: Find the prime factorization of 8828

8828 = 2 x 2 x 2207

Step 2: Find the prime factorization of 8836

8836 = 2 x 2 x 47 x 47

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

LCM = 19501052 = 2 x 2 x 47 x 47 x 2207

Step 4: Therefore, the least common multiple of 8828 and 8836 is 19501052.