Least Common Multiple of 8929 and 8931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8929 and 8931 the smallest integer that is 79744899 that is divisible by both numbers.

Least Common Multiple (LCM) of 8929 and 8931 is 79744899.

LCM(8929,8931) = 79744899

LCM of 8929 and 8931

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

LCM of:
and

Least Common Multiple of 8929 and 8931

LCM of 8929 and 8931 is 79744899

Least common multiple can be found by multiplying the highest exponent prime factors of 8929 and 8931. First we will calculate the prime factors of 8929 and 8931.

Prime Factorization of 8929


8929 8929
1

Prime factors of 8929 are 8929. Prime factorization of 8929 in exponential form is:

8929 = 89291

Prime Factorization of 8931


3 8931
13 2977
229 229
1

Prime factors of 8931 are 3, 13,229. Prime factorization of 8931 in exponential form is:

8931 = 31×131×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 8929 and 8931.

LCM(8929,8931) = 31×131×2291×89291
LCM(8929,8931) = 79744899

Factors of 8929

List of positive integer factors of 8929 that divides 8929 without a remainder.

1, 8929

Factors of 8931

List of positive integer factors of 8931 that divides 8931 without a remainder.

1, 3, 13, 39, 229, 687, 2977, 8931

Least Common Multiple of 8929 and 8931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8929 and 8931, than apply into the LCM equation.

GCF(8929,8931) = 1
LCM(8929,8931) = ( 8929 × 8931) / 1
LCM(8929,8931) = 79744899 / 1
LCM(8929,8931) = 79744899

Properties of LCM 8929 and 8931

(i) The LCM of 8931 and 8929 is associative

LCM of 8929 and 8931 = LCM of 8931 and 8929

Related Least Common Multiples of 8929

Related Least Common Multiples of 8931

Frequently Asked Questions on LCM of 8929 and 8931

1. What is the LCM of 8929 and 8931?

Answer: LCM of 8929 and 8931 is 79744899.

2. What are the Factors of 8929?

Answer: Factors of 8929 are 1, 8929. There are 2 integers that are factors of 8929. The greatest factor of 8929 is 8929.

3. What are the Factors of 8931?

Answer: Factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931. There are 8 integers that are factors of 8931. The greatest factor of 8931 is 8931.

4. How to Find the LCM of 8929 and 8931?

Answer:

Least Common Multiple of 8929 and 8931 = 79744899

Step 1: Find the prime factorization of 8929

8929 = 8929

Step 2: Find the prime factorization of 8931

8931 = 3 x 13 x 229

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

LCM = 79744899 = 3 x 13 x 229 x 8929

Step 4: Therefore, the least common multiple of 8929 and 8931 is 79744899.