Least Common Multiple of 8831 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 8831 and 8836 the smallest integer that is 78030716 that is divisible by both numbers.

Least Common Multiple (LCM) of 8831 and 8836 is 78030716.

LCM(8831,8836) = 78030716

LCM of 8831 and 8836

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

LCM of:
and

Least Common Multiple of 8831 and 8836

LCM of 8831 and 8836 is 78030716

Least common multiple can be found by multiplying the highest exponent prime factors of 8831 and 8836. First we will calculate the prime factors of 8831 and 8836.

Prime Factorization of 8831


8831 8831
1

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

8831 = 88311

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 8831 and 8836.

LCM(8831,8836) = 22×472×88311
LCM(8831,8836) = 78030716

Factors of 8831

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

1, 8831

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 8831 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 8831 and 8836, than apply into the LCM equation.

GCF(8831,8836) = 1
LCM(8831,8836) = ( 8831 × 8836) / 1
LCM(8831,8836) = 78030716 / 1
LCM(8831,8836) = 78030716

Properties of LCM 8831 and 8836

(i) The LCM of 8836 and 8831 is associative

LCM of 8831 and 8836 = LCM of 8836 and 8831

Related Least Common Multiples of 8831

Related Least Common Multiples of 8836

Frequently Asked Questions on LCM of 8831 and 8836

1. What is the LCM of 8831 and 8836?

Answer: LCM of 8831 and 8836 is 78030716.

2. 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.

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 8831 and 8836?

Answer:

Least Common Multiple of 8831 and 8836 = 78030716

Step 1: Find the prime factorization of 8831

8831 = 8831

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 = 78030716 = 2 x 2 x 47 x 47 x 8831

Step 4: Therefore, the least common multiple of 8831 and 8836 is 78030716.