Least Common Multiple of 8828 and 8829

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 8829 the smallest integer that is 77942412 that is divisible by both numbers.

Least Common Multiple (LCM) of 8828 and 8829 is 77942412.

LCM(8828,8829) = 77942412

LCM of 8828 and 8829

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

LCM of:
and

Least Common Multiple of 8828 and 8829

LCM of 8828 and 8829 is 77942412

Least common multiple can be found by multiplying the highest exponent prime factors of 8828 and 8829. First we will calculate the prime factors of 8828 and 8829.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8828 and 8829.

LCM(8828,8829) = 22×34×1091×22071
LCM(8828,8829) = 77942412

Factors of 8828

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

1, 2, 4, 2207, 4414, 8828

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

Least Common Multiple of 8828 and 8829 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 8829, than apply into the LCM equation.

GCF(8828,8829) = 1
LCM(8828,8829) = ( 8828 × 8829) / 1
LCM(8828,8829) = 77942412 / 1
LCM(8828,8829) = 77942412

Properties of LCM 8828 and 8829

(i) The LCM of 8829 and 8828 is associative

LCM of 8828 and 8829 = LCM of 8829 and 8828

Related Least Common Multiples of 8828

Related Least Common Multiples of 8829

Frequently Asked Questions on LCM of 8828 and 8829

1. What is the LCM of 8828 and 8829?

Answer: LCM of 8828 and 8829 is 77942412.

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 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.

4. How to Find the LCM of 8828 and 8829?

Answer:

Least Common Multiple of 8828 and 8829 = 77942412

Step 1: Find the prime factorization of 8828

8828 = 2 x 2 x 2207

Step 2: Find the prime factorization of 8829

8829 = 3 x 3 x 3 x 3 x 109

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

LCM = 77942412 = 2 x 2 x 3 x 3 x 3 x 3 x 109 x 2207

Step 4: Therefore, the least common multiple of 8828 and 8829 is 77942412.