Least Common Multiple of 8829 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 8829 and 8836 the smallest integer that is 78013044 that is divisible by both numbers.

Least Common Multiple (LCM) of 8829 and 8836 is 78013044.

LCM(8829,8836) = 78013044

LCM of 8829 and 8836

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

LCM of:
and

Least Common Multiple of 8829 and 8836

LCM of 8829 and 8836 is 78013044

Least common multiple can be found by multiplying the highest exponent prime factors of 8829 and 8836. First we will calculate the prime factors of 8829 and 8836.

Prime Factorization of 8829


3 8829
3 2943
3 981
3 327
109 109
1

Prime factors of 8829 are 3,109. Prime factorization of 8829 in exponential form is:

8829 = 34×1091

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 8829 and 8836.

LCM(8829,8836) = 22×34×472×1091
LCM(8829,8836) = 78013044

Factors of 8829

List of positive integer factors of 8829 that divides 8829 without a remainder.

1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829

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 8829 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 8829 and 8836, than apply into the LCM equation.

GCF(8829,8836) = 1
LCM(8829,8836) = ( 8829 × 8836) / 1
LCM(8829,8836) = 78013044 / 1
LCM(8829,8836) = 78013044

Properties of LCM 8829 and 8836

(i) The LCM of 8836 and 8829 is associative

LCM of 8829 and 8836 = LCM of 8836 and 8829

Related Least Common Multiples of 8829

Related Least Common Multiples of 8836

Frequently Asked Questions on LCM of 8829 and 8836

1. What is the LCM of 8829 and 8836?

Answer: LCM of 8829 and 8836 is 78013044.

2. What are the Factors of 8829?

Answer: Factors of 8829 are 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829. There are 10 integers that are factors of 8829. The greatest factor of 8829 is 8829.

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 8829 and 8836?

Answer:

Least Common Multiple of 8829 and 8836 = 78013044

Step 1: Find the prime factorization of 8829

8829 = 3 x 3 x 3 x 3 x 109

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 = 78013044 = 2 x 2 x 3 x 3 x 3 x 3 x 47 x 47 x 109

Step 4: Therefore, the least common multiple of 8829 and 8836 is 78013044.