Least Common Multiple of 8823 and 8831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8823 and 8831 the smallest integer that is 77915913 that is divisible by both numbers.

Least Common Multiple (LCM) of 8823 and 8831 is 77915913.

LCM(8823,8831) = 77915913

LCM of 8823 and 8831

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

LCM of:
and

Least Common Multiple of 8823 and 8831

LCM of 8823 and 8831 is 77915913

Least common multiple can be found by multiplying the highest exponent prime factors of 8823 and 8831. First we will calculate the prime factors of 8823 and 8831.

Prime Factorization of 8823


3 8823
17 2941
173 173
1

Prime factors of 8823 are 3, 17,173. Prime factorization of 8823 in exponential form is:

8823 = 31×171×1731

Prime Factorization of 8831


8831 8831
1

Prime factors of 8831 are 8831. Prime factorization of 8831 in exponential form is:

8831 = 88311

Now multiplying the highest exponent prime factors to calculate the LCM of 8823 and 8831.

LCM(8823,8831) = 31×171×1731×88311
LCM(8823,8831) = 77915913

Factors of 8823

List of positive integer factors of 8823 that divides 8823 without a remainder.

1, 3, 17, 51, 173, 519, 2941, 8823

Factors of 8831

List of positive integer factors of 8831 that divides 8831 without a remainder.

1, 8831

Least Common Multiple of 8823 and 8831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8823 and 8831, than apply into the LCM equation.

GCF(8823,8831) = 1
LCM(8823,8831) = ( 8823 × 8831) / 1
LCM(8823,8831) = 77915913 / 1
LCM(8823,8831) = 77915913

Properties of LCM 8823 and 8831

(i) The LCM of 8831 and 8823 is associative

LCM of 8823 and 8831 = LCM of 8831 and 8823

Related Least Common Multiples of 8823

Related Least Common Multiples of 8831

Frequently Asked Questions on LCM of 8823 and 8831

1. What is the LCM of 8823 and 8831?

Answer: LCM of 8823 and 8831 is 77915913.

2. What are the Factors of 8823?

Answer: Factors of 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823. There are 8 integers that are factors of 8823. The greatest factor of 8823 is 8823.

3. What are the Factors of 8831?

Answer: Factors of 8831 are 1, 8831. There are 2 integers that are factors of 8831. The greatest factor of 8831 is 8831.

4. How to Find the LCM of 8823 and 8831?

Answer:

Least Common Multiple of 8823 and 8831 = 77915913

Step 1: Find the prime factorization of 8823

8823 = 3 x 17 x 173

Step 2: Find the prime factorization of 8831

8831 = 8831

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

LCM = 77915913 = 3 x 17 x 173 x 8831

Step 4: Therefore, the least common multiple of 8823 and 8831 is 77915913.