Least Common Multiple of 8831 and 8838

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 8838 the smallest integer that is 78048378 that is divisible by both numbers.

Least Common Multiple (LCM) of 8831 and 8838 is 78048378.

LCM(8831,8838) = 78048378

LCM of 8831 and 8838

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

LCM of:
and

Least Common Multiple of 8831 and 8838

LCM of 8831 and 8838 is 78048378

Least common multiple can be found by multiplying the highest exponent prime factors of 8831 and 8838. First we will calculate the prime factors of 8831 and 8838.

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 8838


2 8838
3 4419
3 1473
491 491
1

Prime factors of 8838 are 2, 3,491. Prime factorization of 8838 in exponential form is:

8838 = 21×32×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 8831 and 8838.

LCM(8831,8838) = 21×32×4911×88311
LCM(8831,8838) = 78048378

Factors of 8831

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

1, 8831

Factors of 8838

List of positive integer factors of 8838 that divides 8838 without a remainder.

1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838

Least Common Multiple of 8831 and 8838 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 8838, than apply into the LCM equation.

GCF(8831,8838) = 1
LCM(8831,8838) = ( 8831 × 8838) / 1
LCM(8831,8838) = 78048378 / 1
LCM(8831,8838) = 78048378

Properties of LCM 8831 and 8838

(i) The LCM of 8838 and 8831 is associative

LCM of 8831 and 8838 = LCM of 8838 and 8831

Related Least Common Multiples of 8831

Related Least Common Multiples of 8838

Frequently Asked Questions on LCM of 8831 and 8838

1. What is the LCM of 8831 and 8838?

Answer: LCM of 8831 and 8838 is 78048378.

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 8838?

Answer: Factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838. There are 12 integers that are factors of 8838. The greatest factor of 8838 is 8838.

4. How to Find the LCM of 8831 and 8838?

Answer:

Least Common Multiple of 8831 and 8838 = 78048378

Step 1: Find the prime factorization of 8831

8831 = 8831

Step 2: Find the prime factorization of 8838

8838 = 2 x 3 x 3 x 491

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

LCM = 78048378 = 2 x 3 x 3 x 491 x 8831

Step 4: Therefore, the least common multiple of 8831 and 8838 is 78048378.